{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "480765be",
   "metadata": {},
   "outputs": [],
   "source": [
    "from astropy.io import fits\n",
    "import HAWCtoHerschel as HtoH"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d5477674",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Source information\n",
    "SourceName = 'Fil4'\n",
    "FullName = 'Filament 4'\n",
    "# Loading the fits files\n",
    "SourceT = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Tdust_10_10.fits')\n",
    "SourceN = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_N_10_10.fits')\n",
    "SourcePol = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Gal.fits')\n",
    "SourcePlanck = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Planck.fits')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8fbf97a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot parameters\n",
    "ScaleLength = 0.0130218 # 0.0127324 # 1 pc in degrees for the target\n",
    "\n",
    "# Region location, width, and height\n",
    "l_center = 21.2480479 # Position in galactic longitude (degrees)\n",
    "b_center = -0.1327292 # Position in galactic latitude (degrees)\n",
    "l_width = 0.2864717 # Width in galactic longitude (degrees)\n",
    "b_height = 0.1529881 # Height in galactic latitude (degrees)\n",
    "Region = [l_center,b_center,l_width,b_height]\n",
    "\n",
    "# Intensity contours for the plot\n",
    "Icontours = [10, 20, 30, 40, 50, 60] # in mJy/arcsec^2\n",
    "# Ranges for plots\n",
    "Nscale = [0,1.5e+22] # Range for column density in cm^-2\n",
    "Tscale = [15.0,25.0] # Range for temperature map in K\n",
    "Iscale = [0.0,20.0] # Range for intensity map in mJy/arcsec^2\n",
    "# Vector scaling fraction in polarization plots\n",
    "Pvscale = 0.6\n",
    "\n",
    "# Figure size\n",
    "MapFigSize = [10.67,6] # in inches\n",
    "\n",
    "# Effective HAWC+ beam size to use\n",
    "HAWCBeam = 0.00519 # 18.7'' in Band E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a2a163b6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Beam Size of polarization data\n",
      "18.2\n",
      "Beam size of target pojection\n",
      "36.395999999999994\n",
      "Pixel size of the polarization data\n",
      "4.550000000000001\n",
      "Pixel size of the target projection\n",
      "14.0000004\n",
      "Target standard deviation for smoothing in arcseconds\n",
      "13.384761981071023\n",
      "Target standard deviation for smoothing in pixels\n",
      "2.941705929905719\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: nan_treatment='interpolate', however, NaN values detected post convolution. A contiguous region of NaN values, larger than the kernel size, are present in the input array. Increase the kernel size to avoid this. [astropy.convolution.convolve]\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:96: RuntimeWarning: invalid value encountered in divide\n",
      "  dPI = ((StokesQ*dQ)**2.0 + (StokesU*dU)**2.0)**0.5/PI_biased\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:106: RuntimeWarning: invalid value encountered in divide\n",
      "  P_biased = 100.0*PI_biased/StokesI\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:109: RuntimeWarning: invalid value encountered in divide\n",
      "  dP = np.absolute(P_biased*((dPI/PI_biased)**2.0 + (dI/StokesI)**2.0)**0.5)\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:120: RuntimeWarning: invalid value encountered in divide\n",
      "  dO = (0.5*180.0/math.pi)*((StokesQ*dU)**2.0 +\n"
     ]
    }
   ],
   "source": [
    "# Reprojecting the HAWC+ Stokes data to the Herschel pixel scale\n",
    "NewPol = HtoH.ReprojectCube(SourcePol,SourceN, Smooth=True)\n",
    "#NewPol.writeto('test2.fits', overwrite=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "31eb9087",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:228: RuntimeWarning: invalid value encountered in divide\n",
      "  imask_01 = np.where(Pdata[0].data/Pdata[1].data < IdI) # Total intensity SNR threshold\n"
     ]
    }
   ],
   "source": [
    "# Creating downsampled vector catalogs (independent vectors)\n",
    "# Creating the mask for the region\n",
    "DownsampleMask = HtoH.DownsampleVectors(NewPol,Step=2)\n",
    "# Creating the new catalogs for the region\n",
    "CatI, CatdI, CatQ, CatdQ, CatU, CatdU, CatP, CatdP, CatO, CatB,CatdO, CatPI, CatdPI, CatN, CatT = HtoH.MakePCats(SourceN, SourceT, SourcePol, NewPol, CatMask=DownsampleMask)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2c4fb0cb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "===\n",
      "Curve fit test\n",
      "Log scale fit: (-0.6943285996986169,26.497194923208383)\n",
      "Direct power law fit: (-0.6117052378144793,25.242910497932964)\n",
      "===\n",
      "\n",
      "Power law index: -0.6943285996986169 ± 0.03658511020502485\n",
      "Coefficient: 26.497194923208383 ± 2.1585800200324283\n",
      "Chi-Squared: 391.86582088348973\n",
      "Number of elements: 258\n",
      "Reduced Chi-Squared: 1.5307258628261318\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAf0AAAF2CAYAAABku0GTAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/P9b71AAAACXBIWXMAAA9hAAAPYQGoP6dpAACGfUlEQVR4nO3dd1hT59sH8G/CHoKyCcuBgBMVZ9VqrdXa1tFaRFurQLDVoqjUOlqrdVTUt3XgrIqgVqvFutpaFz9Ha92KGxRFAVkqMpWVPO8fadIEEsgkAe7PdZ0LODnnyZ1Dkvuc5zyDwxhjIIQQQkiDx9V3AIQQQgipG5T0CSGEkEaCkj4hhBDSSFDSJ4QQQhoJSvqEEEJII0FJnxBCCGkkKOkTQgghjQQlfUIIIaSRoKRPCCGENBKU9A1QWVkZvv32W5SVlek7FELqHL3/SWOny8+AQST9DRs2oGPHjrCxsYGNjQ169eqFP//8U/J4aWkpwsPDYW9vD2tra4wcORI5OTl6jFi3ysrKsGDBAvrSI40Svf9JY6fLz4BBJH13d3csXboUV65cweXLlzFgwAAMHz4ct2/fBgBMnz4dv/32G+Lj43H69GlkZmbigw8+UPl51q1bp9N9lN1WnTgaKkM5FrqOQ1vla1oOfQYMi6Ech/ry/te0LHr/A2AGqlmzZmzLli0sPz+fmZiYsPj4eMljd+/eZQDYuXPnVCqzTZs2Ksehyj7KblvbdgUFBQwAKygoUPq56yt1/ie6oOs4tFW+puXUh88Avf/rXn15/2taVn14/zOm28+Asf5ON+QTCASIj49HSUkJevXqhStXrqCiogIDBw6UbOPn5wdPT0+cO3cOPXv2lFtOWVmZTNWIUChEWVkZCgoKwOFwVIqnsLBQq9vWtp34MWWftz5T5fjW5zi0Vb6m5aizf11/Buj93/Di0Gb5mpRVH97/AFBQUAAAyM/Pl1lvZmYGMzMzpWJRSOunEWq6ceMGs7KyYkZGRszW1pb98ccfjDHGdu7cyUxNTatt361bNzZz5kyF5c2fP58BoIUWWmihhZYGscyfP1/jXGswV/q+vr5ITExEQUEB9u7di/Hjx+P06dNqlzdnzhxERkZK/i4oKICnpyfS09NhY2OjjZBrFhwM7N8PhIQAq1bp/vmkVFZW4smTJ3Bzc4Oxsf7/xYYWj6FSdJwqKyuRlpYGoVAILpcLT09PucextLQUN2/eRIcOHWBubq7RcxJC9KewsBAeHh5IS0uDra2tZL3GV/kADOZTbmpqCm9vbwBAQEAALl26hNWrVyMoKAjl5eXIz89H06ZNJdvn5OTAxcVFYXmKqkHEPQR0bupUUdL/5Rdg5UpA6h+na5WVlSgsLISNjY1BfJEbWjyaEgqFktfD5WqvLayi41RZWYkmTZpAIBDAyMhI4XE0NTWFlZUVbGxsVEr6Del/Q0hDYmtrq/V8ZRCt9+UR34MPCAiAiYkJEhISJI8lJycjLS0NvXr10mOEtXj9daBtW6CkBNixQ9/REC0SCoXIz8+HUCjUdyiEEKISgzi1nzNnDoYMGQJPT08UFRVh165dOHXqFI4ePQpbW1vw+XxERkbCzs4ONjY2mDJlCnr16qWwEZ9B4HCAzz8HJk8G1q8HwsNF6wghhBA9MYikn5ubi3HjxiErKwu2trbo2LEjjh49irfeegsAsHLlSnC5XIwcORJlZWUYPHgw1q9fr+eolfDJJ8CsWcDdu8CpU8Abb+g7IkIIIY2YQVTvx8TE4NGjRygrK0Nubi5OnDghSfgAYG5ujnXr1iEvLw8lJSXYt29fjffzDYaNjSjxA6KrfUJ0KDMzEzExMcjMzNR3KIQQA2UQSb9B+/xz0c/9+wH6MiY6FBsbi5SUFMTGxuo7FEKIgaKkr2sdOgB9+wICAbB5s76jIQ1YSEgIvL29ERISou9QCCEGipJ+XRBf7W/aBFRU6DcW0mDxeDzw+XzweDx9h0IIMVCU9OvCBx8ATk6i6v2DB/UdDSGEkEaKkn5dMDUFJkwQ/U4N+gghhOgJJf268umnAJcLnDwp6sJHCCGE1DFK+nXF0xMYOlT0+4YN+o2FEEJIo0RJvy6Fh4t+xsUB/06dSAghhNQVSvp1aeBA0Xj8RUXAli36jobUMzk5OYiOjqbBdwghaqOkX5c4HGD6dNHvq1dT9z2ikvj4eCQnJyMmJkbfoRBC6ilK+nVt7FhR9730dODXX/UdDalHAgMD4evrCz6fr+9QCCH1FCX9umZu/t+9/R9+ABjTbzzEoNQ0ba+zszMiIiJo8B1CiNoo6evDpEmi5H/5MvDXX/qOhhgQxhgKCgrkJv3a0IQ7hJDaUNLXB0dHYNw40e8rVug3FtJg0IQ7hJDaUNLXF3GDvkOHgPv39RsLaRBowh1CSG0o6euLnx/w7ruie/orV+o7GtIA0IQ7hJDaUNLXpy++EP2MiwOeP9drKIQQQho+Svr61L8/0Lkz8OoVsHGjvqMhhJBq4uLiwOFwwOFwJOv69+8PDoeD4OBg/QVG1EJJX584HCAyUvT72rVAWZl+4yGENCri5C1vOXDgAADA0dERPXr0QI8ePfQbrBYFBweDw+Ggf//+Ku137do1mJmZSY5RUlKSbgLUIWN9B9DoBQUBs2cDT54AP/8M0JkzIaSOmZqaonPnzjLr7OzsAADvvvsu3n33XX2EZVBevXqFjz76COXl5foORSN0pa9vJiZARITo9xUraLAeolU1DfZDiJirqyvOnz8vs7z++usA5FfvyzN+/Hi0bt0aTZo0gampKby8vBAREYHCwkLJNuIr7ObNm2Pbtm3w8PCAjY0Npk2bhlevXmHatGmwtbWFp6cnNla55ZmZmYnQ0FDweDyYmpqiZcuWWLRoESorKyXbiGsuxo0bh/nz58PV1RXNmjXD2LFjUVRUBACS5waA06dPS17bqVOnanx9kZGRSEpKQmBgoNLH1RBR0jcEEyYAVlbAzZvAiRP6joY0IJT0SV05ePAgXrx4gVatWsHDwwNpaWlYs2aN3GGjs7Ky8Pnnn8PMzAxFRUVYvXo1AgICEBsbC1tbW6SnpyM8PBx3794FADx//hw9e/ZEbGwsiouL0aZNG6Snp2PevHn49NNPq5W/e/durFy5EhYWFsjPz8fOnTuxdOlSAEDnzp3h4OAAAGjSpInk1oWNjY3C1/bbb79h48aNmDJlCt555x1tHC69oaRvCJo1A8QfjB9+0G8shJBG5/Hjx9Xu6avq9OnTePbsGRITE/HgwQN8/fXXAIADBw6gtLRUZtvy8nIcO3YM9+7dg4eHBwAgJSUF169fx507d2Bubg6hUIjTp08DANauXYv09HQ4OzvjwYMHuH79Ovbu3QtAVBORkpIiU765uTnu3r2LlJQUBAQEAAASEhIAAPv375fcrujSpYukZqNLly5yX1d2djb4fD46dOiA5cuXq3xcDA3d0zcUU6eKGvMdPQrcugW0b6/viAghjYS8e/qqOnHiBD7++GM8ePBAJslXVlbi6dOnkuQOAM2aNUPv3r0BAJ6enkhPT0f79u3RvHlzAICTkxPS0tKQk5MDALh48SIA0fTSTk5OMs/LGMOFCxfg7e0tWTdgwAC4ubkBAPz8/HDlyhVJWar67LPPUFRUhP/9738wNzdXqwxDQknfULRsCbz/vmjmvZUrAZo+lRBSR8T39NW1c+dOzJgxQ1KWh4cHnj17hocPHwIABAKBzPbSVenGxsbV1olrGliVNk5NmjRB27Ztqz2/paWlzN9NmzatVn7VspR1/fp1lJeXo2fPngAg04YgICAAkydPxrJly9QqWx+oet+QiAfr+eknIDtbv7EQQoiSxCcMTZo0QWpqKi5cuIBBgwZprfxu3boBECXw3bt3S6rkjx8/js8//xzvv/++SuWJTxJKSkqU2l4oFKKkpAQlJSUok+pa/fLlS5m/6wNK+oakVy/RUl4OrFun72iIAcnJycHatWvVrqIkRJc6duwIACgqKkLLli3RsmVL/PLLL1orPzw8HG5ubnjx4gV8fX3RqVMntGrVCvb29hg/frzK5fn5+QEALl++jA4dOqBnz5549eqV3G0fPXoExphkkZ7Q6u7du1i1apVar0lfKOkbGvHV/tq1gFRXF9K47dmzB8nJydizZ4++QyGkGj6fj8jISDg4OKCoqAj9+/fHwoULtVa+o6Mjzp8/j5CQENjb2+P27dt49eoV+vbti5VqzF0SGhqKkSNHwtbWFrdu3cKFCxeq3YJoqDhM3Rsd9UxhYSFsbW1RUFBQY9cMvRMIgHbtgORkYOlSYNYslYuorKxERkYG3N3dJfez9MnQ4tGUrl5PZWUlHj9+DADw8vKSlF1ZWYmLFy9i9+7dGD16NLp37y73eUtLS5GYmIhOnTpJGhzVFmtD+98Q0hDoMl/Rlb6hMTIC5swR/b5ihWhcftLoOTs7Y/LkyXB2dtZ3KISQeoySviH66COgeXMgNxfYskXf0RBCCGkgKOkbIhMTYOZM0e/Ll4sa9hFCCCEaoqRvqEJCAFdXICMD2LFD39GQBiozMxOrV69GZmamvkMhhNQBSvqGytz8v5b8S5cCUgNCEKItMTExSEpKQgwNBkVIo0BJ35B99hlgbw+kpADx8fqOhjRAfD4ffn5+cidFIYQ0PJT0DZm1NTBtmuj3JUsAmimNaBmPx8PUqVPB4/H0HQohpA5Q0jd0kycDNjaiSXh++03f0RBCCKnHKOkbuqZNgfBw0e/ffQc0jrGUCCGE6IBBJP2oqCh069YNTZo0gZOTE0aMGIHk5GSZbfr3719tvueJEyfqKeI6Nn06YGEBXLoEnDih72hURi3ECak/1q1bh+bNm8Pc3Bw9evSQTGtbkydPnmDs2LGwt7eHhYUFOnTogMuXL0seLyoqwrRp0+Dl5QULCwu89tpruHTpksHEr8o+S5cuBYfDwTTxrdd6xiCS/unTpxEeHi6ZNamiogKDBg2qNgPShAkTkJWVJVmWL1+up4jrmKMj8Omnot+/+06/saiBWohrJjMzE9HR0TTZDtG5PXv2IDIyEvPnz8fVq1fh7++PwYMHIzc3V+E+L168QO/evWFiYoI///wTd+7cwQ8//IBmzZpJtgkLC8Px48exY8cO3Lx5E4MGDcLAgQPx5MmTWmPq378/4uLidBa/KvtcunQJP/74o2SCoXqJGaDc3FwGgJ0+fVqyrl+/fmzq1Klql1lQUMAAsIKCAi1EqAfp6YyZmDAGMPb33zVuWlFRwVJTU1lFRUUdBVezx48fs2nTprHHjx/rOxSt0NXxraioYCkpKSwlJUWm7Hnz5rHBgwezKVOmVHtM2qtXr9i5c+fYq1evlI7V0N4rDdWFCxdYv379mLm5OfP19WWXLl1iP/74Ixs6dKi+Q5PRvXt3Fh4eLvlbIBAwHo/HoqKiFO4za9Ys1qdPH4WPv3z5khkZGbHff/9dZn2XLl3Y119/XWtM/fr1Y7GxsbUHz9SLX9l9ioqKWOvWrdnx48c1zke10WW+Mogr/aoKCgoAAHZ2djLrd+7cCQcHB7Rv3x5z5szBy5cvFZZRVlaGwsJCmaVec3cHgoNFv+vwal8oFCI/Px9CLfYUoBbimuHz+fD19UVgYKC+QyFqOH/+PPr164d3330XN27cQJs2bbBw4UIsW7YMCxYskNl2yZIlsLa2rnFJS0vTSZzl5eW4cuUKBg4cKFnH5XIxcOBAnDt3TuF+hw4dQteuXREYGAgnJyd07twZmzdvljxeWVkJgUAgmQRKzMLCAn///bde41dln/DwcLz77rsy2+pa1RxWVlamcZkGl/SFQiGmTZuG3r17o3379pL1H330EX766SecPHkSc+bMwY4dOzB27FiF5URFRcHW1layeHh41EX4ujVrFsDlAn/+CVy9qpOn0EXSJ8pRVI3P4/EQERFBk+3UU5GRkQgMDMSXX36J1q1bY8yYMfjjjz/g7++Pzp07y2w7ceJEJCYm1rjo6uT52bNnEAgE1d5nzs7OyM7OVrjfw4cPsWHDBrRu3RpHjx7FpEmTEBERgW3btgEAmjRpgl69emHRokXIzMyEQCDATz/9hHPnziErK6taeVVPfP766y9MnDix1hMfdeJXdp/du3fj6tWriIqKUngcdMHDw0Mmj2nj+Q1uLs3w8HDcunWr2hngp+J72gA6dOgAV1dXvPnmm3jw4AFatWpVrZw5c+YgMjJS8ndhYWH9T/ytWgFjxgA7dwKLFwP79uk7IqJFMTExSE5Oxp49e9C9e3d9h0O0ICMjA+fOncP3338vWWdsbAzGWLWrfEBUu1m1hlNVs2fPxrJly2rc5u7du/Dz89PoecSEQiG6du2KJUuWAAA6d+6MW7duYePGjRg/fjwAYMeOHQgNDYWbmxuMjIzQpUsXjBkzBleuXKlW3sSJEzFq1CjJ3x9//DFGjhyJDz74QLKuLmsN09PTMXXqVBw/frxabUVdPLf01LpmZmYal2lQSX/y5Mn4/fffcebMGbi7u9e4bY8ePQAAKSkpcpO+mZmZVg6Qwfn6a2DXLmD/ftHVfpcu+o6IaAmfz0d+fj6CgoL0HQrRkrt37wIAukh9TpOTk9G9e3d06NCh2vZLliyRJE9F7ty5A09PT4WPf/HFFwgW3wpUoGXLltXWOTg4wMjIqFpNU05ODlxcXBSW5erqirZt28qsa9OmDX799VfJ361atcLp06dRUlKCwsJCuLq6IigoSG4cVU98LCws4OTkBG9v7xpfkzrxK7PPlStXkJubK/M/FAgEOHPmDNauXYuysjIYGRnVGJu6bGxsZJK+NhhE0meMYcqUKdi/fz9OnTqFFi1a1LpPYmIiANEbrlFp00Y09e7OncC8ecDvv+s7IqIl4mp80nAUFBTAyMgIHA4HAJCXl4fvv/8e/v7+crevepUrT21XuY6OjnB0dFQ5VlNTUwQEBCAhIQEjRowAILqKT0hIwOTJkxXu17t372pdrO/duwcvL69q21pZWcHKygovXrzA0aNHtdoDS534ldnnzTffxM2bN2X2CwkJgZ+fH2bNmqWzhK8zWm8aqIZJkyYxW1tbdurUKZaVlSVZXr58yRhjLCUlhS1cuJBdvnyZpaamsoMHD7KWLVuy119/XennqPet96Xdu8eYkZGoJf+5c9Ue1qRFti5acze0FuJ13XpfvD45OZla79cz9+/fZwDYwoUL2d27d9mgQYNYly5dmLOzM3v06JG+w6tm9+7dzMzMjMXFxbE7d+6wTz/9lDVt2pRlZ2dLtlmzZg0bMGCA5O+LFy8yY2Nj9t1337H79++znTt3MktLS/bTTz9Jtjly5Aj7888/2cOHD9mxY8eYv78/69GjBysvL68WQ1FRkUwekLdUVlaqFX/V2JV9zVXV59b7BpH0AchdxN000tLS2Ouvv87s7OyYmZkZ8/b2Zl9++aVKB6RBJX3GGAsJESX9t96q9hAlfd2ipE9UsXDhQmZvb8/Mzc1ZcHAwe/bsGevSpQvz8/PTd2hyrVmzhnl6ejJTU1PWvXt3dv78eZnH58+fz7y8vGTW/fbbb6x9+/bMzMyM+fn5sU2bNsk8vmfPHtayZUtmamrKXFxcWHh4OMvPz5f7/PPnz1eYE8RLamqqWvHLi12Z11xVfU76HMYax7iuhYWFsLW1RUFBgdbvkehFairg4yOacvfMGaBvX8lDlZWVyMjIgLu7O4yNVbuDo8m+dVmmPunq9VRWVuLx48cAAC8vL0nZ4vUCgQBGRkYyj0krLS1FYmIiOnXqJGlwVFusDe1/Q0hDoMt8ZXBd9oiSWrQAxNOhfvONzJj8NOwtIYQQeTRK+hUVFUhPT0dycjLy8vK0FRNR1tdfA6amwOnTwP/+J1lNw94SQgiRR+WkX1RUhA0bNqBfv36wsbFB8+bN0aZNGzg6OsLLywsTJkzQ2UQKpAoPj//G5Je62ufz+fDz8wNfXBNACCGEQMWkv2LFCjRv3hyxsbEYOHAgDhw4gMTERNy7dw/nzp3D/PnzUVlZiUGDBuHtt9/G/fv3dRU3EfvqK8DcHDh3DjhyBAANe0sIIUQ+lVruXLp0CWfOnEG7du3kPt69e3eEhoZi48aNiI2NxV9//YXWrVtrJVCigKsr8PnnwIoVon77b7+t74gIIYQYKJWu9H/++WeFCV+amZkZJk6ciNDQULUDIyqYNQuwsgIuXwYOHdJ3NIQQPbt27RpMTEzQv39/nZQfFRWFbt26oUmTJnBycsKIESOqDdADAE+ePMHYsWNhb28PCwsLdOjQAZcvX1ZY7rfffgsOhyOzaGu4YHXiV3d7Q6aV1vvPnj3DH3/8gUOHDsmdQIHomJMTMGWK6Pd58wCaLIeQRi0iIgIzZszA9evXdVL+6dOnER4ejvPnz+P48eOoqKjAoEGDUFJSItnmxYsX6N27N0xMTPDnn3/izp07+OGHH9CsWbMay27Xrh2ysrIki7Iz8fXv3x9xcXFai1+T7Q2Zxh1zf/31V/D5fPj4+KCiogLJyclYt24dQkJCtBEfUdaMGcC6dcCNG+Ds3w/8OzcBIaRx2bVrF5o1a4bw8HAsXboUjx49QvPmzbX6HEf+bT8kFhcXBycnJ1y5cgWvv/46AGDZsmXw8PBAbGysZDtlhlg3Njaucax/bVAmfk22N2QqX+kXFxfL/L1gwQJcvHgRFy9exLVr1xAfH4+vv/5aawESJdnbA9OnAwC4CxYAAoGeAyKE1LWSkhJ89dVXWLZsGdzd3WFrayuZp6SqqlPYylvkTWErT0FBAQDITJRz6NAhdO3aFYGBgXByckLnzp2xefPmWsu6f/8+eDweWrZsiY8//ljpGDQhL35tbm9IVE76AQEBOHjwoORvY2Nj5ObmSv7OycmBqampdqIjqpk+HWjWDJy7d2EtNcMVIaRxWLJkCd5++220adMGANC2bVuFSX/ixIlITEyscVGmB5BQKMS0adPQu3dvtG/fXrL+4cOH2LBhA1q3bo2jR49i0qRJiIiIwLZt2xSW1aNHD8TFxeHIkSPYsGEDUlNT0bdvXxQVFcl9rdInKH/99RcmTpyo8kmLovi1tb3BUXXc3tTUVPbOO++wESNGsCdPnrAzZ84wHo/HnJ2dmb29PXN0dGR//PGH1scL1lSDG3tfke+/ZwxgFS4urEKN10pj79eOxt4nhujBgwfM3t6eZWVlSdZNmDCBDR8+XKfPO3HiRObl5cXS09Nl1puYmLBevXrJrJsyZQrr2bOn0mW/ePGC2djYsC1btlR77Pnz5+z+/fuSpXv37mzZsmUy65R5XyuKX1vbq0OX+Urle/rNmzfHH3/8gZ9//hn9+vVDREQEUlJSkJKSAoFAAD8/P8m430QPwsPBoqNhnJYGwdq1on78hJAGb/r06Xj+/Dnc3d0l64RCITw9PeVuv2TJEixZsqTGMu/cuaNwfwCYPHkyfv/9d5w5c0bmeQHRtOdt27aVWdemTRv8qkItZNOmTeHj44OUlJRqj9nZ2clUr1tYWMDJyQne3t5Kl19T/NrY3hCp3ZBvzJgxGDJkCGbMmIH+/ftj06ZN6NSpkxZDI2oxN4dwwQIYhYSAu3w58Nlnovv9hJAG69ixYzh79iyuXbsmM3HSpUuXEBoaivz8fDRt2lRmn4kTJ2LUqFE1lquoep8xhilTpmD//v04deqU3AZ6vXv3rtat7d69e/Dy8lLyVYnakD148ACffPKJ0vsoQ5n4NdneoKlTPfDHH3+w77//nh0/fpwxxtipU6dYu3bt2IwZM9jLly+1Vw+hRY2mep8xVlFWxsratBFNvRsZqdq+VL1fK6reJ4akvLyctWnThi1durTaY48fP2YA2MmTJ7X6nJMmTWK2trbs1KlTMvPcS3//X7x4kRkbG7PvvvuO3b9/n+3cuZNZWlqyn376iTEmf277L774gp06dYqlpqays2fPsoEDBzIHBweWm5tbLYaioiKZ55a3VFZWqh2/dHzKbK9NusxXKif9yMhI5uTkxIKCgljLli3ZwoULGWOMlZWVsblz5zJfX192+PBhrQeqqUaV9CsqWHZcnCjpm5oyVsPc0/L2paRfM0r6xJCsWLGCOTk5seLi4mqPCYVCZmlpyVauXKnV54SCee5jY2Nltvvtt99Y+/btmZmZGfPz82ObNm2SPCZvbvugoCDm6urKTE1NmZubGwsKCmIpKSlyY5g/f77COMRLqoLvPmXil45P2derLbrMVxzGpOZkVYK9vT2OHTuGgIAA5OXloWfPnrh3757k8Tt37uCzzz7DX3/9pXq1gw7pcn5iQ1NZWYmM9HR48vngnjwJjB0L7Nih/L5anl+9oc3ZrqvXU1lZicePHwMAvLy8JGWL1wsEAhgZGck8Jq20tBSJiYno1KmTpF1NbbE2tP8NIQ2BLvOVyl32rKyskJqaCgBIT0+v1mivbdu2BpfwGyUOB8KoKNHvO3cCCrrtENVlZmZi9erVyMzM1HcohBCiEpWTflRUFMaNGwcej4d+/fph0aJFuoiLaENAADB6tGjK3Vmz9B1NgxETE4OkpCTExMToOxSVCIVC5OfnQ0jDNBPSaKmc9D/++GOkp6fj4MGDePToEYYPH66LuIi2fPcdYGICHDsGnDih72gaBD6fDz8/P/D5fH2HohJK+oQQlZK+eHQje3t7dOvWrVoXkKqePHmidmBES1q2BCZNEv0+axZNxqMFPB4PU6dOVWq0MkIIMSQqJf1u3brhs88+w6VLlxRuU1BQgM2bN6N9+/YqDcJAdGjuXKBJE+DqVWD3bn1H02jQlTUhxNCo1Fz3zp07+O677/DWW2/B3NwcAQEB4PF4MDc3x4sXL3Dnzh3cvn0bXbp0wfLly/HOO+/oKm6iCkdHYOZM4JtvgDlzgPffByws9B1VgydO+tbW1uBytTKLNSGEaESlbyJ7e3usWLECWVlZWLt2LVq3bo1nz57h/v37AET3+69cuYJz585Rwjc0kZGAhweQlgb88IO+oyGEEKIHanXMtbCwwIcffogPP/xQ2/EQXbG0BJYtAz76CIiKAkJDAbonTQipI+np6fjkk0+Qm5sLY2NjfPPNNwgMDNR3WI0O1Tk2JqNHA716AS9fiqr5CSGkjhgbG2PVqlW4c+cOjh07hmnTpqGkpETfYTU6lPQbEw4HWLVK9Pv27UANDTIJIUSbXF1dJZOyubi4wMHBAXl5efoNqhGipN/YdO8OiGesmjZNNHAPMRg5OTmIjo6m0f5Ig3blyhUIBAJ4eHhotdwzZ85g6NCh4PF44HA4OHDgQK37fPvtt+BwODKLn5+fzDYbNmxAx44dYWNjAxsbG/Tq1Qt//vmnVmOvK5T0G6OoKNE9/n/+Afbs0Xc0RMqePXuQnJxc70b7I0RZeXl5GDduHDZt2qT1sktKSuDv749169aptF+7du2QlZUlWf7++2+Zx93d3bF06VJcuXIFly9fxoABAzB8+HDcvn1bm+HXCbWS/uPHj/Hbb7/h4sWL2o6H1AU3N2D2bNHvM2eK7vETgxAUFARfX996N9ofIYGBgXB0dJRJ5hcuXICpqSmOHTsGACgrK8OIESMwe/ZsvPbaa1qPYciQIVi8eDHef/99lfYzNjaGi4uLZHFwcJB5fOjQoXjnnXfQunVr+Pj44LvvvoO1tTXOnz+vzfDrhMpJ/+eff4aPjw+GDx+OXr16oWvXrnj69KkuYiO69MUXoi586enUhc+AODs7IyIigkb7I/VOdHQ0Ro4ciYULFwIAiouLMXbsWEyaNAmDBg0CYwzBwcEYMGAAPhHfYpRjyZIlsLa2rnERjw6rLffv3wePx0PLli3x8ccf11i+QCDA7t27UVJSgl69emk1jrqgctJfsGABPvroIyQlJUnO3maLrxpJ/WFpCSxfLvp96VKAhkwmhGjA1dUV06ZNw5MnT/D8+XNERETAzMwMy5YtAwCcPXsWe/bswYEDB9CpUyd06tQJN2/erFbOxIkTkZiYWOOizZPiHj16IC4uDkeOHMGGDRuQmpqKvn37oqioSGa7mzdvwtraGmZmZpg4cSL279+Ptm3bai2OuqJyP/2HDx/iyJEjaN68OXx8fPDTTz8hICCA7kHWR0FBwJo1onv7s2cDO3boOyJSAw6HA1tbWxrdjxgsHx8fWFpaYt68edi5cycuXrwomX69T58+Sg1JbWdnBzs7O12HKjFkyBDJ7x07dkSPHj3g5eWFX375ReY2m6+vLxITE1FQUIC9e/di/PjxOH36dL1L/Cp/e1RWVsLS0lLyt5+fH4RCIbKzs7UaGKkD0l34fvoJ+OsvvYZDasblctG0aVNK+sRgcblcdOjQAevXr8fixYvh7++vchn6qN6X1rRpU/j4+CAlJUVmvampKby9vREQEICoqCj4+/tj9erVOotDV9QakW/btm3o3bs3OnbsCGtraxgbG+MlNQarn7p1A8LCgC1bgPBwgBpnEkLUxP7tAtylSxd88cUXCrcTCAQwMjKS+9jEiRMxatSoGp9Hl21eiouL8eDBgxrbHQCiuTXKysp0FoeuqJz0+/bti8WLF6OoqAhcLhctWrRAaWkpYmJiMHDgQHTt2hVNmjTRRaxEV6KigF9/BW7eBGf9euCDD/QdEVEDl8ulyX2IXq1atQoXLlxAp06dqr0Phw0bBnd3d1y6dAmfffYZwsLC5JahSfV+cXGxzBV6amoqEhMTYWdnB09PT6xduxb79+9HQkKCZJsZM2Zg6NCh8PLyQmZmJubPnw8jIyOMGTNGss2cOXMwZMgQeHp6oqioCLt27cKpU6dw9OhRteLUJ5WT/unTpwGIWjteuXIFV69exdWrV7FhwwZERUWBy+WidevWuHv3rtaDJTri4CBK/BMngrtgAYz69gXc3fUdFVERJX2iTzdv3sScOXPw+eefY8uWLaisrISxsbHM42+++SbWr1+vsxguX76MN954Q/J3ZGQkAGD8+PGIi4vDs2fP8ODBA5l9MjIyMGbMGDx//hyOjo7o06cPzp8/D0dHR8k2ubm5GDduHLKysmBra4uOHTvi6NGjeOutt3T2WnSFw5j2hmRLTU3F5cuXce3aNSxZskRbxWpFYWEhbG1tUVBQABsbG32Ho1OVlZXIyMiAu7u7zIeuRgKBaFz+S5dQ/P77MP/lF+X31UU8CgiFQhQWFsLGxkZvyU3Z16Pq666srMTjx48BAF5eXpJ9FK1X5vmk1wGo8XFt/b9J41NaWopu3bqhS5cuWLVqFezs7HDz5k20b98eAFBUVIR27drp9F58Q6LLfKXVb80WLVogMDDQ4BI+UYKREbBuHRiHA+v9+w22UZ94jnplWgE3JEKhEMXFxSq/7szMTKxevZqG9SU6NXv2bJSUlGDt2rVo1qwZvLy8sGrVKsn77vbt2zoZjIeoziDqAaOiotCtWzc0adIETk5OGDFiBJKTk2W2KS0tRXh4OOzt7WFtbY2RI0ciJydHTxE3UN26gf17n81oyhSgokLPARExxlitSV9e6/6YmBgkJSVRl1qiM8eOHcO6devw008/SdpzzZ07FwcOHEB4eDgAUdV+hw4d9Bkm+ZdBJP3Tp08jPDwc58+fx/Hjx1FRUYFBgwbJTLs4ffp0/Pbbb4iPj8fp06eRmZmJD6jBmdYJFy2CoFkzcG7fBlQcv5rol7ykz+fz4efnR8P6Ep0ZNGgQKioqZK7kw8LC8OzZM+zfvx8AJX1DYhA38Y4cOSLzd1xcHJycnHDlyhW8/vrrKCgoQExMDHbt2oUBAwYAAGJjY9GmTRucP38ePXv21EfYDZO9PV7MnAmHOXOAefNEA/i4uuo7KqImHo+HqVOn0rC+RK+io6P1HQL5l0Fc6VdVUFAAAJJuG1euXEFFRQUGDhwo2cbPzw+enp44d+6c3DLKyspQWFgosxDlFI8aBdatG1BUJBqjnxBCSJ2rmsO0MS6ARlf6CQkJSEhIQG5ubrV7jVu3blWrTKFQiGnTpqF3796Slp/Z2dkwNTVF06ZNZbZ1dnZWOBJgVFQUFixYoFYMjR6XC8HatTDu1Qv4+Wdg3Djg7bf1HVWNDKFVPyGEaJOHh4fM3/Pnz8e3336rUZlqfzsuWLAAgwYNQkJCAp49e4YXL17ILOoKDw/HrVu3sHv3brXLAESDKRQUFEiW9PR0jcprdLp0AaZOFf0+aRIg1b7CEDXWVv2EkIYrPT1dJo/NmTNH4zLVvtLfuHEj4uLiah2qUBWTJ0/G77//jjNnzkj6FQOAi4sLysvLkZ+fL3O1n5OTAxcXF7llmZmZwczMTGuxNUoLF4pG6nv0CFiw4L9Z+QghhOicjY2N4fTTLy8v11q/S8YYJk+ejP379+N///sfWrRoIfN4QEAATExMZIZOTE5ORlpaWr2cz7jesLb+rwX/ihVAYqJew2nMOBwOjbZHCNGY2t8gYWFh2LVrl1aCCA8Px08//YRdu3ahSZMmyM7ORnZ2Nl69egUAsLW1BZ/PR2RkJE6ePIkrV64gJCQEvXr1opb7uvbee8CHH4pG7Pv0U9FPUudoiF1CiDaoXb1fWlqKTZs24cSJE+jYsSNMTExkHl+xYoXSZW3YsAEA0L9/f5n1sbGxCA4OBgCsXLkSXC4XI0eORFlZGQYPHqzTMZyJlOho4Phx4NIlYP16YMoUfUdECCFEDWon/Rs3bqBTp04AgFu3bsk8xuFwVCpLmeH/zc3NsW7dOqyjAWPqnqsrsHSpqEHfV18BI0YAVVqVEkIIMXxqJ/2TJ09qMw5iIMRjtU+fPh2enp7/PfDpp8COHcA//4iu9PfvB1Q8uSNEjLpYEqIf9GkjMhSO1c7lAps2AcbGwMGDQHy8fgIkDQJ1sSREPzQanCc/Px8xMTG4e/cuAKBt27bg8/mwtbXVSnCk7vH5fBQWFsofq71dO+Drr0Xd9yZPBt54A5Cac5oQQohhU/tK//Lly2jVqhVWrlyJvLw85OXlYeXKlWjVqhWuXr2qzRhJHap1rPavvgI6dACePv1v8B5CCCH1gtpJf/r06Rg2bBgePXqEffv2Yd++fUhNTcV7772HadOmaTFEYlBMTYHYWMDISDRE78GD+o6IEEKIkjS60p81axaMjf+7Q2BsbIyZM2fi8uXLWgmOGKiAAODLL0W/T5wIaDDsMiGEkLqjdtK3sbFBWlpatfXp6elo0qSJRkGRemD+fMDPD8jOBiIj9R0NIYQQJaid9IOCgsDn87Fnzx6kp6cjPT0du3fvRlhYGMaMGaPNGIkhMjcHtm4VdduLiwP+/FPhplwuF02bNqWuWVKo9TohRB/Ubr3//fffg8PhYNy4caisrAQAmJiYYNKkSVi6dKnWAiQGrFcvYNo0YOVKUT/+W7cAOT03xEmf/Eec9GloXUJIXVL728bU1BSrV6/GixcvkJiYiMTEREkLfprdrhFZvBjw9gYyMupVa/76dKXN5XJha2ur8kiXhBBSlcaXGJaWlujQoQM6dOgAS0tLbcRE6hNLS1H1PpcLbNtWb1rz17ekT7dHCCHaoFL1fmRkJBYtWgQrKytE1tJ4S5UJd0g917u3qDX/smXAhAmian8nJ31HVe+Ir+gLCwv1HYpBoSF7CdEelZL+tWvXUFFRIfldEaqGbIQWLAAOHwZu3hR14/v1VxqbX0XiK/ri4mKdlK9wXoU6Ip28Vd2P2j8Qoh0qJX3pSXa2bdsGd3f3ah9CxhjS09O1Ex2pP8zMRBPydOsmmoznp5+ATz7Rd1REivS8CgsWLKjz55dO3oQQ/VD7tLlFixZ49uxZtfV5eXlo0aKFRkGResrfH/j2W9HvkycDapz8aeNee326X1+X+Hw+/Pz85M+rQAhpFNRO+owxueuLi4thbm6udkCknps5E+jZEygsBEJCABUTLyV93al1XgVCSIOncj99cQM+DoeDefPmybTYFwgEuHDhAjp16qS1AEk9Y2wMbN8OdOoEJCSI+vB/8YW+oyKEEAI1rvSvXbuGa9eugTGGmzdvSv6+du0akpKS4O/vj7i4OB2ESuqN1q1FyR4A5swBEhP1Go62rvxVLUfccC4zM1Oj5yWEEG1R+Upf3JgvJCQEq1evVrklLmkkJkwQDc174ADw0UfA5cuiPv16oK3W3+JylL19pe+Gc8qgMQAIaVzU/qTHxsZSwieKcTjA5s2Aqytw9y4wY4ZewtDn/f360HCOkj4hjYvan/SoqChs3bq12vqtW7di2bJlGgVFGggHB9H9fQDYsAH47bc6D0EoFKKgoEBhw1NdPWd+fj5cXFyo4RwhxKConfR//PFH+Pn5VVvfrl07bNy4UaOgSAMycOB/DflCQ4GsLP3GUweo94Dq6JgRUjfUTvrZ2dlwdXWttt7R0RFZjeCLnajgu+9ErfmfPRMN2CMQ6DsiYmAo6RNSN9RO+h4eHjh79my19WfPnqXqTCLLzAz4+WdRQ76EBEAHUy9nZmZi1apVSEpKosRBCCEKqJ30J0yYgGnTpiE2NhaPHz/G48ePsXXrVkyfPh0TJkzQZoykIfDzA9avF/0+bx7w999aLV7cUn7z5s2U9AkhRAGVu+yJffnll3j+/Dk+//xzlJeXgzEGCwsLzJo1C7Nnz9ZmjERFBtsie/x40ZX+jh3AmDGi/vv29lopms/nIz8/H0FBQVopjxBCGiK1kz6Hw8GyZcvwzTff4O7du7CwsEDr1q1hZmamzfiIGsRJ3yCtXw9cuADcuycapvfgQZVm4xMKhSguLq52Nc/j8RAREaHtaAkhpEFRO+mLpaWl4fnz5ygvL8fDhw8l64cNG6Zp0aQhsrYG9uwRjc//22/AqlXA9OlK764o6RNCCKmd2kn/4cOHeP/993Hz5k1wOBxJP2jOv1dtAmqhTRTp1An44QfRTHwzZwLduwO9e+s7KkIIafDUvuk7depUtGjRArm5ubC0tMStW7dw5swZdO3aFadOndJiiKRB+vxzICgIqKwEAgOB7Gx9R0QIIQ2e2kn/3LlzWLhwIRwcHMDlcmFkZIQ+ffogKiqK7q2S2nE4wJYtQNu2ogF7Ro8WnQDUIjMzEzExMQY9iQ3dgiCEGCq1k75AIECTJk0AAA4ODpIvYS8vLyQnJ2snOtKwWVsDv/4q+nn6tGhGvlrExsYiJSUFsbGxdRCgeijpE0IMldpJv3379rh+/ToAoEePHli+fDnOnj2LhQsXomXLlloLkDRwfn6AOIF//z04+/bVuHlISAi8vb0REhKik3BoZDg6BoQ0ZGon/blz50q+FBYuXIjU1FT07dsXhw8fRnR0tNYCJI3Ahx9KxufnhoXB+MEDhZvyeDzw+XydjfpICY+OASENmdqt9wcPHiz53dvbG0lJScjLy0OzZs0kLfgJUdrSpcClS+CcOQOnSZOAixcBQx1r4F/i5GhjY2N4AyERQogcan1TVVRU4M0338T9+/dl1tvZ2VHCJ+oxNgb27AFzdYXp/fvgTpwIMGbQV52GHBshhMijVtI3MTHBjRs3tB0LaSQUJksXFwh27QIzNgZ3zx5gzRpKrP/KzMzE6tWrDbrXAiHE8KldJzl27FjExMRoMxbSSNSYyPv0wQtxK/4vvgDkzOTYGIknFKLPHCFEE2on/crKSmzYsAFdu3bFZ599hsjISJlFFWfOnMHQoUPB4/HA4XBw4MABmceDg4PB4XBklrffflvd0ImBKwwJgXDUKKCyEkZBQTCiq1vw+Xz4+fmBz+frOxRCSD2mdkO+W7duoUuXLgCAe/fuyTym6n39kpIS+Pv7IzQ0FB988IHcbd5++22Zvtk0sU8DxuFA+OOP4CYlgXPjBpw+/VR0xW9rq+/IANQ+i6F4AKGZM2fCxMREK8/J4/EwdepUnfVaIIQ0Dmon/ZMnT2otiCFDhmDIkCE1bmNmZgYXFxetPScxcNbWwKFDYN26wez2bQhDQ4H4eH1HBeC/pF+pYARB8QBCcXFxmDBhQh1HRwghiqlcvf/w4UPJ5Dp16dSpU3BycoKvry8mTZqE58+f17h9WVkZCgsLZRZSz3h5QfDLL2AmJuDu2wcsXKjviJQiHkAoODhY36EQQuqxqjmsrKxM4zJVTvqtW7fG06dPJX8HBQUhJydH40Bq8vbbb2P79u1ISEjAsmXLcPr0aQwZMqTGmfyioqJga2srWTw8PHQaI9GRPn3wfPFi0e8LFoC7d6/GRQqFQiQlJWHVqlU6aQ0vHkDI1dVV4TYNpTW+ur0rGsrrJ0SXPDw8ZPJYVFSUxmWqnPSrXuUfPnwYJSUlGgdSk9GjR2PYsGHo0KEDRowYgd9//x2XLl2qcTa/OXPmoKCgQLKkp6frNEaiO8WjRkE4bRoAwOTTT2GVlKRReUKhEJs3b9Zra3hDbo2vytwB6iZ9Q379hBiK9PR0mTw2R4n5SWpTL4cRa9myJRwcHJCSkqJwGzMzM9jY2MgspP4SLl0KvP02OK9ewWfmTNHMfBoICgqCr6+v3lrDy2uNLxQKUVhYqPcR/upiwiDqjUBI7armMG00YFf5m0XcZa7qurqUkZGB58+f11h9ShoYIyNg924IfX1h9vQpTEeNAkpLldo1JycH0dHRMlXJzs7OiIiI0FtreHmt8Q0l6euKdJU+9UYgRD9Ubr3PGENwcLDkjKO0tBQTJ06ElZWVzHb7apktTVpxcbHMVXtqaioSExNhZ2cHOzs7LFiwACNHjoSLiwsePHiAmTNnwtvbW2b8f9II2Nqi4tdfYdSrF4wvXwbCwoAdO4BaTjr37NmD5ORkxMTEYMGCBXUULKlKukr/m2++0Xc4hDRKKl9OjB8/Hk5OTpKGBWPHjgWPx5NpbGCrYn/qy5cvo3PnzujcuTMAIDIyEp07d8a8efNgZGSEGzduYNiwYfDx8QGfz0dAQAD++usv6qvfANXWwIu1aoV7S5aAGRkBO3cC8+bVWqa2qvI1aXxmKMMJy4ujrmKjKn1C9E/lK33pAXK0pX///jV2Azx69KjWn5MYJumrQUVX5YVdu6Jy7VqYTJoELF4MeHoCISEKy9RWVb4ysSkiTqzW1tZKVd3rqqqfMYaCggKZwYVUjU1dVKVPiP6pPTgPIbrA5/NRWFhY69WgIDgYJpmZwKJFwKRJ4Li6Am3aGERs2lBXiVjZWBpyWwNCGhP6BBODotLV4IIFwPjxgEAA7ujRML11y3Bia0D0fWuC+vQToj2U9En9xeEAmzYBAweCU1IC1wkTYJyRoe+oaqTvBFofUZ9+QrSHkj6p30xNgV9/BevQAcZPn8KVzwdevNB3VArVZdKvTycYNV3NUwNAQrSHkj6p/2xsIDh0CJXOzjB98EDUh18LY1TXd0KhEAUFBXqZK0NVNV3NN9bbKoTogkYN+RISEpCQkIDc3NxqVxNbt27VKDBCVMH19ETBL7/A9t13wf37bzhGRgL79okG9SEGry4bSRLSmKl9pb9gwQIMGjQICQkJePbsGV68eCGzEFKXuFwumrz2GnI3bsQTY2N8f/gwskNCAB1c5Wqr2rwuqt85HA5sbW0NvtU9Xc0TUjfUvtLfuHEj4uLi8Mknn2gzHkI0Utq7N7YOG4bb+/Yh5uef8Y2Xl2jkPi0SJ2tzc3ONypHXZ17buFyupPz6cG+fEKJban/TlJeX47XXXtNmLIRoRfD//R+833wTEwBkL12KTcHBOp/+mRBC6gO1k35YWBh27dqlzVhII6bNqm4ej4dJW7bA+bvvsBlAyt9/48D8+ZoHqaK6mK1OFVwuF7a2tnU+QRYhxHCoXb1fWlqKTZs24cSJE+jYsSNMTExkHl+xYoXGwZG6J10dXJe0UWUu7vY1ZcoUcLlcsC+/BP/xY8Rs2oSwhARwDh4ERo7UYtTycblcWFtbA4Ak6RvCPXXx/7a4uFjfoRBC9ETtb6IbN26gU6dO4HK5uHXrFq5duyZZEhMTtRgiqUv6SvraIO72JZkfgsOBy9q1mP7hh3BjDNyPPgL+978ay6jaX1ydGghx0q+Px5AQ0rCpfaV/8uRJbcZBiMbE3b5CpCff4XDwdPFicAsKYH38ODBsGHD4MODmJknodnZ2kgRddVId6THwGyrxic706dPh6emp73AIITpElyKkwVDY7cvYGLmrVkH45ptASQmMhg6F4Px5CAQCFBQUyFzF18Xob+JBcwzlXj8Nc0tI46FR0s/Pz8cPP/yAsLAwhIWFYcWKFSgoKNBWbIRUk5mZiZiYGJUnXxGYmCBv61awfv3AKSxEy4kTYXr7drXttNFfXHzlnJWVJfdxcVc9Qxkpj4a5JaTxUDvpX758Ga1atcLKlSuRl5eHvLw8rFy5Eq1atcLVq1e1GSMhErGxsUhJSfnvvr2SGGMoqKiA4MABCHv2hHFxMTz5fJgmJ2s9RvGVc1xcnNbL1gUaGIeQxkPtpD99+nQMGzYMjx49wr59+7Bv3z6kpqbivffew7Rp07QYIiH/CQkJgbe3t+x9e1VYW6P8wAEUtWkD44IC8D75BLh7V6sxiq+cQ0NDqzXoy8zMRHR0dIMZN4CmvSWkftHoSn/WrFkwNv6vLaCxsTFmzpyJy5cvayU4Qqri8Xjg8/maVb+XlCCySxc89PaGUV4ejAYNAu7dq3U/Zfvdi6+c3dzcqiX92NhYJCcnIz4+Xqbc+jIbXlXUHoCQ+kXtpG9jY4O0tLRq69PT09GkSRONgiJEl2JjY3E/IwOr+vVDma8vONnZQP/+QC1V/doYbCc4OBgtWrTAhx9+KFNufU361B6AkPpF7aQfFBQEPp+PPXv2ID09Henp6di9ezfCwsIwZswYbcZIGhhVqoR1UX0cEhKCVq1aYeQnnyBr+3awdu2ArCygXz/gzh2dJmFnZ2eMHTsWjo6ONW5XX6rNqT0AIfWL2kn/+++/xwcffIBx48ahefPmaN68OYKDg/Hhhx9i2bJl2oyRNDCqVAnrovqYx+MhNDQUTk5OENjbQ3D8ONCxI5CTA6OBA2GSlKT1LnU1teiXV4OgzdddX2oS6kuchNRnaid9U1NTrF69Gi9evEBiYiISExMlLfjNzMy0GSNpYFSpEq6T6mNHR9FIfZ07g/P0KXhjx8JUy437amrRLy/pa/N1q5pM1e0WqSlxV0ZK+oTojsaD81haWqJDhw7o0KEDLC0ttRETaeBUqRJWt/pY5atGe3sgIQGsa1cYvXghatVfS9dTVargxUk8ODhYqXD0WW2ubrdIQojhU2kY3sjISCxatAhWVlaIjIyscVuacIfok/iqUaXhc5s1g+DIEVQOHAjzxESwQYMgOHgQ8PKSu3lsbKzMkL01ESdxBwcH5Obmyt0mKysL69evx/Tp09VK9kKhEIWFhbCxsdFo3P+QkBBkZ2cjODgY+fn5dDJPSAOi0jfDtWvXUFFRIfld0UIT7hBdqJN7vra2yIyLw6tu3cApKIDRkCGwOH1a7qYhISFavfUQFxen0X18bR0fcbdIZ2dn5OfnIyMjo140KiSE1E6lK33pSXa2bdsGd3f3alcUjDGkp6drJzpCpAiFQhQVFcHKykqnM9gxa2tkbd2K5l9+Ce6RI3CaMAFCExPggw9kttN2FXxwcDBevnxpcN3fVKnRIIQYNrW/OVu0aIFnz55VW5+Xl4cWLVpoFBQhiqgzbS2Hw4GNjQ04HI7M+pr63TMLCwh//RXCoCBwKirAHTsWRjoegMbV1VVyEqHOmADK7KNOV0Bt12gQQvRH7aSvaLKQ4uJimJubqx0QIdrG5XLRtGlTmRMFDocDa2trlJSUKE6SpqYQbtuGwo8/BocxmEyeDN6OHXUSs66SvryugPKOjzTqi09Iw6FS9T4ASQM+DoeDefPmyTTyEQgEuHDhAjp16qS1AAnRBS6XC1tbW4Uz4UkYGSFv0SJYe3iAu3QpPNevR7mpKRARUTeBKknZ6Xr5fD4KCwtlrtrFSZ8Q0vCpnPSvXbsGQHSlf/PmTZiamkoeMzU1hb+/P2bMmKG9CAnRNw4HwkWLILC1hcmcOTBdtQr2WVmABtX9HA4HL1++RFxcHMLDwzUOUZz0a5uuV5mrdnE//ZkzZ8LExETj2AghhkPlpC9uzBcSEoLVq1fDxsZG60ERomvKXhlLE0ybhrSiIrRcuhRN9uyB4OVLcNQcfZLL5eLXX39FcnIy4uLiMHToULXK0QVxP/24uDhMmDBB3+EQQrRI5aQvJh64486dO0hLS0N5ebnM48OGDdMsMkJ0iDGGoqKiWq+MpXG5XLwaMwaPeDxsmzoVn/72G1zS04HDhwFXV6XLsLS0RElJCYKDg1FcXIzg4GA8f/5c3ZeiddL99LVJuu0AjbpHiH6onfRTU1MxYsQI3Lx5ExwOR/LlKW4hLRAItBMhIQZC3HMgJjsbVwMCgBs38G1iIljfvsCffwKtWytVhpWVFZ4+fYrWrVtLBuzRd9KXHthH3E/f1dVVbg8ddUm3HaCkT4h+qN16PyIiAi1atEBubi4sLS1x+/ZtnDlzBl27dsWpU6e0GCJpTGprSW4IQkJC4PPaaxj/22+o8PAA58EDoFcv4Nw5vcaVk5ODrVu3SrrjqdI9jya7IaRxUPub9dy5c1i4cCEcHBzA5XLB5XLRp08fREVFIcLAWjaT+qM+JH1xYzjXPn2Q9euvYAEBwPPnwIABwL59te4vTs5ZWVkQCoVISkrCli1bau9JUIv4+Hg8ePBAcutN3D0vNjaWkjohBIAGSV8gEKBJkyYAAAcHB8nVhJeXF5KTk7UTHSEGTujoCEFCAvDee0BpKfDhh+CsXl3jPuLkHBcXB8YY4uLiJA3nNBEYGIhWrVohJCQEwH+T/ISEhBj8DHbiLpRVB1AihGiX2km/ffv2uH79OgCgR48eWL58Oc6ePYuFCxeiZcuWWguQkKoM7qrVygrYvx+YNAlgDEYzZsDum2+Af+epqEqcnMUN5ar+rS5nZ2eEhoZKuuPVp0F19FHDY3DvI0LqgNqfsLlz50o+LAsXLkRqair69u2Lw4cPIzo6WmsBElJVXV61Kn1f3NgYWLcOWLYMjMOBzU8/wWT4cHALCqptKk7Orv+2+HdycpL5W11V7+kbMkO4jUNJnzRGan/iBg8ejA/+nYDE29sbSUlJePbsGXJzczFgwACVyjpz5gyGDh0KHo8HDoeDAwcOyDzOGMO8efPg6uoKCwsLDBw4EPfv31c3dNIISSfvzMxMbN26FXfu3Kk1ScobtlYhDgeYORPCvXshtLSE0cmTcB0xAkhKkolj7dq1KreKVyZJVr2nb8gMIekT0hhp9RNnZ2en1j25kpIS+Pv7Y926dXIfX758OaKjo7Fx40ZcuHABVlZWGDx4MEpLSzUNmRgIdSaCUYX0THGxsbF48OABvv/++1qTpPi+uCqTzbBhw5C1dy+YhwdMHj2CUZ8+4Bw/LokjOTkZhw4dUil+ZZJk1Xv6hBBSldpJf8CAAXKn2Xzx4oXKV/pDhgzB4sWL8f7771d7jDGGVatWYe7cuRg+fDg6duyI7du3IzMzs1qNAKm/VLqiVoP0THEhISFo1aoVZsyYUWuSVPe+eEWbNkj99Vd8w+Mhq6AA3PfeQ5PYWIQEB8PX17fa4FVVb1moM5tg1Xv6hBBSldqD85w6dQo3b97EtWvXsHPnTlhZWQEAysvLcfr0aa0FmJqaiuzsbAwcOFCyztbWFj169MC5c+cwevRoufuVlZWhrKxM8ndhYaHWYiLaJ28iGG2STt6VlZUIDQ2Fra0t3NzcZJKkuBW5Nt4vsYcO4XK7dtjk6Ihvr1+H/cKFsE1Px5TISORWudfPGENhYaFkLgt1kr4imZmZiI6ORlBQENzc3DQuryqqoidEN6p+D5mZmcHMzEyjMjX6tJ44cQLZ2dno2bMnHj16pFEgimRnZwMQXcVIc3Z2ljwmT1RUFGxtbSWLh4eHTuIj2mEoLc21ea85JCQEfu3aIfTgQQiWLwfjcGAcGwuPjz6CaU5Ojftq83aH+JbCnj17lN5HlUZu1BCOEN3w8PCQyWNRUVEal6nRN5urqytOnz6NDh06oFu3bgY1Et+cOXNQUFAgWdLT0/UdEjEQ4qtoXfcJl5zIuLmBTZ+OnNhYMDs7mN+8CX8+H0Znzijct6bbHaq2Og8JCYGbmxtKSkqUPolQZ24CXaFGf6SxSk9Pl8ljc+bM0bhMtT9F4i9MMzMz7Nq1C1OnTsXbb7+N9evXaxyUNBcXFwCi7kjScnJyJI/JY2ZmBhsbG5mFEED1qnNxks3IyFD76pvL5cJ8+HBU/PMPStu0gWl+PsyHDYPtli2AnMRaUwNCRUmfw+HIfV08Hg/W1tbIyMiQNFqsT93VKOmTxqpqDtO0ah/QIOlXvQKYO3cudu7ciR9++EHjoKS1aNECLi4uSEhIkKwrLCzEhQsX0KtXL60+FyFA9ap1cSM76WFtVSVJXK1a4XJ0NGZ6eyNLIIDD0qVwnjoVKC6W2V7V2x3iroAlJSVyk2NQUBB8fX0ljRZVTfr16SSBEKKY2kk/NTUVDg4OMutGjhyJ8+fPY+vWrSqVVVxcjMTERCQmJkrKTkxMRFpaGjgcDqZNm4bFixfj0KFDuHnzJsaNGwcej4cRI0aoGz5p4HJychAdHa3WVbmiqnVxDwBNu8T9cugQLrq5YcPgwWDGxig9cQJHxoxB/vnzapcZExNT4317Z2dnREREqN1mwtCH8SWEKEftpO/l5SX3iqJ9+/YYP368SmVdvnwZnTt3RufOnQEAkZGR6Ny5M+bNmwcAmDlzJqZMmYJPP/0U3bp1Q3FxMY4cOQJzc3N1wycN3J49e5CcnIy4uDiVq4YVVa1rq7GhuD/9uDVrcHn1aowxMcG1ggIcnTABTX75RW51f02EQiECAwPh4+ODoKAgjWKTlpubq/aJkzp0PVYDIUTFLnuRkZFYtGgRrKysEBkZWeO2K1asULrc/v3719hgiMPhYOHChVi4cKHSZZLGR/reb1BQEPbs2YOwsDA0bdoUlZWVSpej654E0sPwrklKQnmHDhDcv49Pi4rg9NVXEN68CaGCgaqkiavcLS0tYWFhgcmTJ8PIyEitmMQJd/r06XBycgIgGuEvJSUFsbGxGs8LoAzpGhZ5Y4AQQjSn0pX+tWvXUPHvJCLXrl1TuIir6QnRJnF/86qNOsWkk76m1dmaUKXhWWBgIPw6dsRXu3bBODISzMgI3J9/hlHPnjC5cweA4vvpVddzOBzY2tqq1eBN3i2NwMBAmXYAqlCnDYA6ox9qE7VbII2BSlf6J0+eBABUVFSAy+Vi48aNaN26tU4CI6Qq8X3r+Ph4TJ06VeF22hxgR1VCoRCFhYWwsbFRKnk4OzsjJCQEjo6OyPfxQUWPHuB98QU49+6B9/77EK5YgcqwMGRkZMDHx0cyeI+2VR0c6dmzZzh+/Dg++ugjuLu7o7CwUKXjWVlZqXLM+h6rQZz0tTUoEiGGSK13tomJCW7cuKHtWAipEZ/Ph6+vLwIDA2vcTtkr7dzcXK3NSidOGJWVlRpdLZYGBEBw+TKE77wDTnk5jCZPhtHHH+NVZmatZWrS2E464QqFQuzbt0/SMFCdLnNCoRDFxcX14qqZrvBJY6L26ezYsWN1Nk46IfKIE5OPj49WBtbR5qx0Wk0c9vYQ7t+PvDlzwIyNYfTrr+j4ySfganF465oIhUK88cYbWm8YaKgo6ZPGRO2x9ysrK7F161acOHECAQEBkrH3xVRpyEcaF1WuHKW3FQqFkqr7V69eaRxHYGAgXr16pbdZ6cSvRW4bBS4XhZ9+Cpv33gN33DiYPXgANmQI8MUXwLff6jw2e3t7TJo0CRYWFjp/LkJI3VH7Sv/WrVvo0qULmjRpgnv37lFDPqI0dZO+tjk5Oel1Vjpx0he/NrkN8bp3R/n588gZPhwcxoDvv4dRr14wuXdPpefSpJFfY0FdBkljoPaVvrhRHyH1UU5ODnbt2oW33npL36FIVK3VkLC2Rurs2Wj28ccw/fxzcG7ehOvQoaj87jvggw9UKruuZGZmIiYmBnPmzEHLli3r7Hk1ERsbS10GSYNHp/2kUdqzZw/u3buHQ4cO6TsUAMoNhCMcOhS4eROCwYPBLS+H6ZdfwnncOHAeP1b6eepqHPvY2FhJH//6Qjzior66DBJSFzT+5N+5cwdHjhzBoUOHZBZCDFlQUBB8fHwwbNgwrZarTKt16YlxMjMzsXXrVsTFxSE5Obn2xrEuLqjYvx+pM2aAWVjA4uxZmHbtCpudOwElGqKpm/TFVd8ZGRlKNXoLCQmBt7e33tpLqEPfXQYJqQtqV+8/fPgQ77//Pm7evAkOhyMZUU/cqlogEGgnQkJ0wNnZGeHh4cjLy1N535oSp3TSV5RYpWf5i42NxYMHD9CiRQv4+voqd5XJ4SDr/fdhMWwYbCMjYXH5Mhznz4fV4cN4unQp4OWl8muqjfTgPXw+v9a+7DweD3w+nxIoIQZG7Sv9qVOnokWLFsjNzYWlpSVu376NM2fOoGvXrjh16pQWQyTEsGizijwkJAStWrVCcHCwSiMIMsbwwsEBmbt24fE33+BbY2PkX7gAj3ffBWf9eqWu+lUhHi2vtit36v5GiGFT+1vr3LlzWLhwIRwcHMDlcsHlctGnTx9ERUUhIiJCmzESIqOuW1krM2OfsoPRiFvsi2vEeDweQkNDJePdS29X24lFbm4uoteuxcrCQlzo1Qvr3dzAffkSRlOnAgMGAA8eqPAqZZ/b0tISNjY2MnEqU/UtTvpPnjxBTExMnbaEpxMOQmqndtIXCARo0qQJAMDBwUHy4fby8kJycrJ2oiNEDulW1nVBPGNfTY3SVEn6ytQSKLNdfHy85LPm07kzAqKjMbNfPzyxsABOn4ZRly6w2bwZkDPZUE0nTlwuF1ZWVrCzs6s1TkXlxMXF1XlDPqFQiLy8POTl5SmV+KvGXleNHAnRJ7Xf3e3bt8f169cBAD169MDy5ctx9uxZLFy4sN500SH1U123sg4KCpI78Yy6SUJbyUU8IU5ERAQiIiJw8tQp3DA3x6awMOCNN8B5+RJ2S5bAtHdvmF67JrOvvAl2lCV9Ra2onODgYL005FNlKGJx7OITE0r6pDFQ+909d+5cyQdr4cKFSE1NRd++fXH48GFER0drLUBCqqrrVtaKZuyTlySysrJqrdaW3k/cqE+VYYXFLf4ByMQlPgngz5gBJCRAsHkzBE2bgnvjBlxHjgQ3IgIoKABQ84x24j72WVlZcp9fOrHKK0coFMLKygpTpkwBj8fTapW7NqvwlW2nQEhDonbSHzx4MD74d2AQb29vJCUl4dmzZ8jNzcWAAQO0FiAh9cn27dtVqtaWbsmvLHGL//j4eMk6DocDHx+f/06GOByw4GA8OXECgrFjwWEM3A0bgDZtgPh48FxdFZ44ifvYx8XFyawXCoVISkrC6tWrJUMHyzsBY4yhuLhYMjS3KlXutdFm0qcueqQx0mo9lp2dnVYmQiFE26peXdva2sLIyKjWhFu14Z0iQqEQr169wtixY3VerS1u8S8922DVIX3F62xatQJn2zYgIQFo3RrIygJGjQJ3+HAYKxjUR9zHPjg4WGY9Ywxbt26VzL6nLE1m/6uqPs3eR4ghUqmffmRkpNLb0oQ7xJBUHYa2adOmKCgoUCrpN23aFMXFxTWWL076zs7OWu+fXnVIW3GLfzs7uxr3k3nNAwYAN24AS5cCUVHg/vkn3BISwCIjgblzwbWwkJwUubu7Y+rUqXBzc0Nubq5MmYGBgYiPj9fb7HvSSV8oFKKwsBA2NjaSgY6io6MRFBQELx2MVUBIQ6BS0r9WpTGQInS1T4iIuDpamZbwikgPabto0SL1gzE3F83QN3o0hFOmgHviBDhLlwI7doD7/fdoGhQEcDg13nJwdnbG5MmTYWRkpH4cWiI+tuJYY2JiJLUQ3bt3l7u99EkCIY2RSkmfJtkhRL6srCzs2rULnp6eMuvFVduatAoPCQlBdna29m4Z+PlBePgwnsXGwjEqCpxHj4AxY4ANG4DoaKBdO+08Tx3j8/nIz89XWAtR9SSBkMZIo3d+fn4+fvjhB4SFhSEsLAwrV65Ewb+tgwlpTOLi4pCamoodO3ZovWxdDGkrZAy5r72GisREYOFCwMICOHMG6NIF3ClTwM3PV6tccRW7uKGfwudXs0HetWvXEB4eLrfWkcfjISIiAs7OziqVSUhjonbSv3z5Mlq1aoWVK1dKWueuWLECrVq1wtWrV7UZI2kE6nsf6eDgYLRo0QKffPKJ1ssW39PX5uh2knvjZmbAN98ASUnAqFGAUAjuxo1we+MNGK1ZA5SXq1SuuIpdumeBoudXJ+nPnj0baWlpmD17tkr71aSuR3gkRJ/U/oadPn06hg0bhkePHmHfvn3Yt28fUlNT8d5772HatGlaDJE0BvU96bu6uuKjjz6Ci4uLSvsp0ztAl9PUSpKvuzuwZw9w8iRY+/Ywys+HycyZcHvrLXD27gWXw1GqFwOfz4evr69MzwKFz6lGC/ylS5fC09MTUVFRSEpKwqpVqzRO1nU9wiMh+qTRlf6sWbNgbPxfswBjY2PMnDkTly9f1kpwhKjLEE4ilEnoysSpyTS1tSVYoVCIZ8+e4dGjR6isrAT694fg0iU8i4oCc3GBSVoajMaMAbdPHzS9fRtGRkYyY/JXxePxEBQUhPj4eIVV/EKhEAUFBZKZOVXRuXNnrFu3Dh07dsTmzZu1kqzreoRHQvRJ7W9EGxsbpKWlVVufnp4uGZOfEH3RJOlr64RBW+WI7+m7uLhIJrNZu3YtFi9erHDUPDFlrqqFQiGysrJESR8AjI1RPHo0BHfvilr7W1kB58/DuH9/OH/+OZo9fVrjaxLPVXDw4EFkZ2crdY9f1ZiB/4ZHVjZZK6rGp0F6SGOi9rdRUFAQ+Hw+9uzZg/T0dKSnp2P37t0ICwvDmDFjtBkjIXVKUbJWJolnZ2frbHY5cTLcunUrzp07h7///hsHDx6EsbExmjZtKvmptdoNa2tg/nzg/n1gwgQwLhdWR4/iWadO2DR0KDIV1OgFBgaiZcuWmDRpEmJjY1UezKeyshIZGRn/nYQoUHV45NpqVjSZb4CQhkLtb4fvv/8eH3zwAcaNG4fmzZujefPmCA4Oxocffohly5ZpM0ZCDIIySX/Hjh1q3X/n/HvPXJmEHRwcjJ49e6JXr16YNGmS7pK+mKsrsGkTBFev4uWAAdgiFCL51i1s7dMH3MhIcJ8+lWwqFAphaWkpad8gvsevzGA+0oMJqTPqHpfLxcuXL7FmzRq5J101zTdQF2jqX2II1P52MDU1xerVq/HixQskJiYiMTEReXl5WLlyJczMzLQZIyH1xieffKLy/Xculws7OzulB/BxdXVFeHg4Pv/887qtkm7XDrkxMRi3ezfaurnhU4EA3DVr4N6vH7hz5wIvXkAoFKKkpERyv15RN7qcnBxER0fLJGdlTqqMjY3B4/GQm5sr97ZBTVfzqlbjaztJU9InhkDlpC8UCrFs2TL07t0b3bp1w8KFC+Ht7Y0OHTrA0tJSFzESAkB/jfOUeV7x4DwAVO5Tr+vXpWqyURSP+J4469YN/L/+gvPhw2Bdu4L76hW4y5YBLVrAaOlSGL18WetziO/7q1rVbmxsDE9PT2zbtk3SbkA6Tm1ezVOSJg2Ryt8y3333Hb766itYW1vDzc0Nq1evRnh4uC5iI0SGtpOjslXqyjyvLgfn0ZRAIMCTJ09qvUcupuj1ysw/z+GAvfUWBP/8g9wffwRr1w4oKIDJggXoNmoUPLdvl0zjK++qvqZGeMqMS8Dn89GmTRuEh4fLxKns1TwldNJYqfztuX37dqxfvx5Hjx7FgQMH8Ntvv2Hnzp304SH1jjZPIsSD84wbN87ghnkVT3Vb9TMqnip3zZo1ePbsWa3lyJ1/nsPBy0GDILhyBdi5E0Jvb5gUFqJ5TAzMfH3BnT8fv/x7VR4TEyNJto6OjjKN8KRFR0fjxIkTiI6OVhiLpi3ulek2qO1Be2gQIGIIVP5mSktLwzvvvCP5e+DAgeBwOPRGJo2aeHAeNzc3g0v68nC5XFhZWWHbtm24fv06FixYUOtnuMZEa2QEfPQRyhMTkTRvHkqaNwenoADcJUswY8cOdHr2DPzhwzXqo1+VNq7WaypD2639qfcAMQQqfzNVVlbC3NxcZp2JiQkqKiq0FhQh9Y34nn5t/eYNhXgmvVGjRqG0tBRmZmZaGfGPa2KCl8OH42pcHMp37QLz94f7q1dYeuUKPPr0AfeLL2BUyzGaMmUK+vXrhylTpsisr5qgxZMZadJWgTGGwsJCuSch8toHaHKioe/eA4QAaiR9xhiCg4PxwQcfSJbS0lJMnDhRZh0hhkzb7QPE9/S3b98us95Qq3TFE+MAwJdffolXr15hyJAhGpebnZ2NuLg45OXnQ/j++xBcuoSsTZtQ6u8PzqtX4EZHw+uNN+A8axZMk5LkluHs7IxRo0bB0dFRJsGKE25lZaVaiVfV/7m8mg1Nkj4NAkQMgcrfeOPHj4eTkxNsbW0ly9ixY8Hj8WTWEWLItJ30pe/pSzPUKl3piXFOnToFS0tL/PHHHyqXU/U4xsTE4Pr161i8eDGys7NF9/wHDMCTvXsh+PNPsNdfB6eyErYHDsDjvffAffddICEBkHOlXTXBiicJqqysRGFhocxwwIqSMTXYI0SWce2byNLFpB+E1Hfie/qurq7Il5qWls/no7CwUCtVullZWVi/fj0+//xzhdsIhUJJQlR0QiMUChEYGIgXL14gMDAQFRUVePHiBYKDg1WOSXpAHUD0eo8ePQorKyts2LABixYtEj3A4YANHAjBwIHI/u032G7eDOujR8E9dgw4dgzo3BmYMQOoZaKewsJC5OXlAQBsbW3x6tUryWP5+fnVbj2K11dtZyE+gSgoKMDevXsxevRoeHl5yX1t0vuJa26mT58OT09PtY6Vobf3IA0bvftIvVOfvjy1UaUrvv++bds2JCUlYdu2bbCyspI73KyyY+1bWFhg8uTJcHZ2hpOTE8aMGQNXV1e1YxTj8XhYsWIFOnbsiOHDhwNAtaFx05yd8bW3Ny7t3g3h558DlpbAtWvAxx8D3t4wiY6GcVGR3PIZYygqKtK4IaA46f/yyy8KhwmW9z7TpObGUN63VPvRuBn+tyYhVRjKl2ddESf90NBQ+Pn5ITQ01KB7CDg7O2Py5MlwdHSUW+sgHpjn18uXgTVrgLQ0YNEiwMkJSEuD2ddfY8D48TAKD4fR3bsKn0cb7SUCAwOVHiYYaBiN8SjpN26G+a1RxbfffgsOhyOz+Pn56TssQiS4XC4sLCx0mojVqTXIzMzE2rVrleqHr22KWtcHBQXBz8/vv4F17O2BuXOBx4+BzZuR4euL78rKcH/XLmx95x1kv/46sH8/IBDIlBMbG1vrVXdNJwYcDgfe3t4IDw+HlZWVUkmwITTGM9TGpaRu1IukDwDt2rVDVlaWZPn777/1HRIhEnWR9KXl5ORg69attX5xx8TE4NKlS5g4cSKuXbtW7XEOh4MmTZoonJlOHk1qWjIzM7Fnzx4EBQVVT5zm5kBYGH788EP85e+Pqc2a4QaAmHPngA8+wHMfH+ydNg1J588jOjoa77zzjmSwIFX72mdmZiI2NhYvX74Eh8NRaYKf+n6lbKiNS0ndqDdJ39jYGC4uLpLFwcFB3yERojfx8fF48OBBrQ1r+Xw+0tPTUVZWhtmzZ1d7XDwdrSoJXDrpq5oAxb0GappqNyQ0FF4BAZi2eTM8Q0LA//xzwN4eWzIzkXb5Mlbz+XgUH4/D69eDHxoKJycn3Lt3T+7Vq6Lq+NjYWKSkpCAuLg6AqFZCmbYQ+fn5EAgEKo0PYGgawi0Kor56k/Tv378PHo+Hli1b4uOPP0ZaWlqN25eVlaGwsFBmIaShGDVqFNq0aVPrFzePx8OaNWvQvHlzLF26VO42ytZSiBu/SSc7VZO+vKl2q5bB4/EQGhqKtm3bYvLXX8Np5Urk37yJcVFR8LO3xwrG0CUrC5N++gmt3nsPRitX4pe4OCQnJ2Pr1q0yMSqqjg8JCYG3tzdCQ0NhY2MDACgsLKw16RcWFsLKygolJSVKnSAY4olBQ7hF0VhUzWFlZWUal1kvkn6PHj0QFxeHI0eOYMOGDUhNTUXfvn1RpKCFLwBERUXJjBvg4eFRhxEToj3yqtNdXV0xY8YMuLu717p/u3btsGbNGnTu3FlmvXginJycHIVJX50Z+mxtbZGbm4u1a9dWm/pWPNWu9MA7QqEQeXl5yMvLk/s8QqEQ+WVlqBw5EtnDh6P8xx8xLSgILlZWsEhLg9ncuZixdSu6PHyIUB8fQMl783w+H25ubnj58iViY2Orxaro9dnY2ODly5c6S/q6PmFobA1h6zMPDw+ZPBYVFaVxmfXivz5kyBAEBgaiY8eOGDx4MA4fPoz8/Hz88ssvCveZM2cOCgoKJEt6enodRkyI9ujqSzo+Ph7JyclYs2aNwlntpBOQuBdBTXGIYxWXvXv3brkJrGojP+m/MzMzsXXrVuTm5srsExcXhzt37iBiyxbcCA/H/VOnkDJzJio7d4a7QIAl9++j5fjx8B02DNylS1Fw86bCxCk9k19cXBweP36M+Pj4Go+XuAFcYmJirbMAqkLeIESU9AkApKeny+SxOXPmaFxmvfyvN23aFD4+PkhJSVG4jZmZGWxsbGQWQhoC8dW0Ko3v5BF3V+NwOHj06JHk/rY2BAUFwc3NDcXFxbh//36N/eqr3jaIjY3FgwcPqiXh4OBglJWVwdzcHPHx8WDW1ij56CMk79iBkMGDcWf4cLAmTWDy+DGM58+Hjb8/jAcPhuORI+C+fClTlviefmxsLMLCwuDl5YWXL1/WmMjFDeC++uoryb6KqNJCvmqSF++bkZFhsLcISN2omsPMzMw0LrNeJv3i4mI8ePBAK4OJEKJNdXEVpa3ncHZ2RkREBKZOnYr27dsjLCxM6X1ruhrlcrnw8fGBtbU1njx5gvj4+BobC4qTvvjEICQkBK6urnj58iVevXol2c/V1RXz589Hx44dERgYiKdPn2Lr1q3YsGEDkgsLsd7dHWWpqXj2f/8Hweuvg8MYuKdOwWrSJHB4PJSPGQPh8eOAUAg+n4+2bduCz+eDx+PB2toaGRkZNbZoFzeAi4yMRGFhocxso1Vp0kJeel9K+kTb6kXSnzFjBk6fPo1Hjx7hn3/+wfvvvw8jIyOMGTNG36ERIqM+Vp0qM7GMKlXQ4mMwevRo+Pr6YvTo0TUeE3F1vvieOo/Hg6WlpeSEQbwfl8tF8+bNJSMJim8hAEDz5s0RGBgIoYUFst9+G2V//on0v/6CYMECoHVrcEpKYLp7N7iDBgHNm8Nz40Z8NWyYpE1EUFAQfH19a2wYKT5Oly5dgo2NDQ4fPqxwW1VayFetFRDv+84771B/eqJ19eKbKSMjA2PGjIGvry9GjRoFe3t7nD9/Ho6OjvoOjRAAUOp+d11Qplo5MzMTa9aswatXrxTeIpCX5AsKClQa/lY8Mp+zs3ON21WtzudyuZITBumkKT7GRkZGsLGxwahRo+Dr64vw8HCMGTMGTk5OePLkCVavXo0nT55A4O4OwezZyL9wAWUnTyIvMBCsaVMgPR3cZcvg9vbbMOrUCZwlS+D26hUiIiKUmlEvODgY3t7eCAkJUfiaqp5I1XSSJH1lLxQKYWlpiSlTpuDw4cPUn55oXb1I+rt370ZmZibKysqQkZGB3bt3o1WrVvoOixCJukj6ytQiKFOtLO4rv3fvXo3j1cbobuLq/KKiIiT9O91uy5YtFXYrEx8HV1dXREREIDc3F19//TVSU1Px448/4v79+1izZo3kvnjeixd41ro17kREIDcxEcLduyEcNgzM1BSc27dhNH8+vAYOhPuIEeCsXAn82+hXOlFLT2Tk4eEhia222g7x8a0p6UvXClRWVopOWAQChISEVKstMOSugKR+qBdJnxCiXNJXplpZvE1NV6rKUmYoXGUkJyfjwYMH2Lx5s8oJbe7cuXjy5AmioqIwfPhwyQVBUlISYmNjwRiT9MEvKCuDcORICH/9FemXLkGwZQsweDCYkRHMbt2C0cyZgKcn0LcvOOvWwSg7G4Ds7IXGxsawtrYGAKWTfk0nR9K1AhkZGVizZg1KSkrg7u5e620XQlRFSZ8QHarre/zy7s9zOByZWghVBmep7Upe0dVoYWFhjcP7iscIEA+Ha2ZmhtLSUqUnvsnMzJSMMbB48WK4ublh8eLFcHZ2RmhoKKZMmSJzYpObm4u4uDjk5ORIEmeltTXY+PHAkSPgZGUBGzYA/foBHA7w99/ImTYNW3v1Qk63buD83//B+OFDAOr9T2uqgZEuLzo6GgkJCYiLi5NbPo2bTzRFSZ8QLVCUCAyhYZ8mtx7EV/LiwWvEiVpM+gRCkkwrKyVXxU+fPq22D4fDkUxpGxMTg5CQELRt2xb/93//B2dnZ6W6JMbGxkqG8/X398fSpUvh7+8vmZMAgExcO3fuREpKCuLj4+W3T3B0BCZOBE6dElXvr1iBTR4euAFgS2Iicr76CjFvvomcdu3A/fZbNE1NRXZWltIJuKYaGPGAP4WFhTIxKZra9+7du1i7dq3CwYwIqQklfUK0wBCSuy6Ir+RDQkIkU+IqqsqXV/WsaB/pJCgedtfJyQlAzVXjHA4Htra2kv0nTJgAY2NjyYiC4jkJ4uLiIBQKkZSUhOjoaHh7e6OwsBBvvPFGrTHDzQ2YPh2hf/8NrwkTELp4MTa1bIkbHA623Lsnmga4Sxds7dQJDw4cQMy8eUBFRY3H0cXFBXw+Hy4uLjUeu8mTJ2PgwIGIiIiQ+54SD2M8dOhQvHjxQmHSr+sBf0j90bC+oQgh1YgTpTonJNJX8sp0a5PG5XIxYcKEale4XC4Xfn5+mDZtmlK3GMRV47GxsZJE6O7ujmnTpsHHxwfFxcUwMzNDTk4OiouL4erqiuDgYDDGsHXrVty4cQMrV64Eh8PB0qVLZa7MpWsnqiZFHo+HiK++guusWQg9eRJen32G0JUrgfffByws8Gl+PgIePcJn27aJagpGjwZ27ABqmcZYXgIWn9gYGRnhm2++gaenp9x9XVxcEBoaCsZYtRoUaZWVlcjIyEBlZaXC5ySNEyV9QhowLpcLOzs72NnZqZT05d07Fg/mU1OiFledi4ftVSa5i28/5OTk4Pvvv0dGRobMVa50rUDVFvEvXrxAQUEBrKyssG3bNmRkZMDKygpubm6wtbXFqFGj8OrVK7i6uiIrKwvm5uaIjo6WtAeQjrumpMjj8RAxaxZcJ08G9u0Dnj2Dc3w8vnj/fbja2wMFBcCePcC4cYCTE/Daa8B330F49SryX7yQDPubnZ0t97nEJzbbtm2Dp6cnjI2NFR6v3NxcfPnll7h+/brCWpeMjAxJ7wWA2gKQ/1DSJ6QBq+m2g/gxY2NjufeOxVfXgGzDOfHf8pKIeAx9Vfrzi5P+3r17cffuXcTExMjELa5tcHd3l4lT/FzihoqhoaHw8/PD0KFDZbr1/d///R/8/f2xYMEC+Pv7A0Ct0/vWduxgaQk2YgSerVgBwZMnwD//AF99Bfj7A4wB584Bc+eCGxAA67ZtEfvBB7h/6hRi1q6Ve+yUHcwnOzsb33zzDbhcLkpLSxVuHx0djRMnTiA6OhqAZiMEkoaFkj4h9ZA22hDUlPSrduuTbjgHVD8pkCavwZ8yAgMD0apVK7W7EvJ4PEyePBkODg4A/jtRAYDx48fDx8cHkydPRkREBHx8fPDuu+/izp07WLVqldxYxccHgKRhovQxkvwPTEyAXr2A774DEhOBtDRg40Zg6FAwCwsYZ2fjs2vX0C0xEZ9+/z22vvYaHhw6hJj58yVtAZTtURETEwNzc3MIhUKsWLFC6elxVRkhkDRsiuuQCCEGSzoh6YI4Cbm4uCA7OxshISEoLCyUdKnj8/koLCyUm6Dj4+Nx7949xMTE4Jtvvqn1ubhcLpo1awYLCwtJwz5VSLdZyMnJQVxcHFxdXbFt2zYkJydLJhIKDAwEh8ORnByIW/qnpKQgOjoaHA4H06dPr3Y/XdwFkcfjySR/hf8DDw/gs8+Azz5D+r17iP7yS0y0tMScS5dg+uABPn3yBJsBTHj4ENi7F3jjDXAHDoRdz57g1jIFOJ/PR35+PgIDA+Hj46PwpC8iIgIlJSWIiIgAALi7u2P+/Pk08RihK31CSO14PB4iIiIkQ+oqqnIH/pu9T95VpbyqbXXbHUjvL44hPj4ejx8/RlxcnKSlOwA8fPgQhw8frla+OFYAtVZ/q9MYLmbnTtwqK0O0oyPSjx5F5cOHcN68GV8MHQpXBweguBj47Tdwp06FTY8e4LZoAYwfD8TGAqmpolsFUsTH3c/Pr8bj5enpKdMgUF7NEDXua5wo6RNC1CadTKSr0xU1+BPfFoiLi9NKF8eqtxJGjx6Ndu3aISwsTHKiEhwcjFatWiE4OBgcDgdCoRAlJSWwtLSUNE6MiIjQSfU3n8+Hm5sbSkpKUFJSgkJbW7DgYFRu3w6WlQVcvQosXQq8+SZgZiYaI2D7diA0FGjZEvDyEjUO3LoVePAAXA5HqRMkY2PjWhsEUre+xomSPiENiD7HCxCP6f/LL7+guLi4xnHmw8LCNI4zJycHM2bMkGnFXrWHAYfDgbe3N8LCwtC2bVvY2dkBANLS0rB27VosX74cOTk5Nd5T16Tlu3jaXvGMgYWFhQBE86QXFhdD6O8PzJoFnDgB5OUBR4+KGgS+9hpgbCw6CdixA+DzAW9vcJs3R9MpU8DduhW4d69aTYAqqr6umrovkoaDkj4hDYgySV+VEwNVthVf1RYXF+PRo0eSbnvS+9eWXGNiYpRKrlwuFwcPHoSFhYWkFbu8kfzE7QXEY+aLGy4eOXIEZ86cwZkzZ2ptxS+unYiOjpab/Gu7QhaPbyDd/kHuPpaWwKBBogaBZ88C+fnA8ePA118DvXsDJiZARgbw00/AhAmAr6+oe+Dw4cDy5cDffwOlpbUeu6qvS3zCJD4JyMjIoKTfgFHSJ6SR0VXSl76qPXTokMr7x8bGIiUlRW6PAHlxhYeHw9/fX9KKvepzSfdOkB6GmMvl4pNPPkG/fv3Qr18/TJgwQalJjAD59/1rSvpcLhc+Pj6YOnUqAEhOGpSqPbCyAgYOBBYvFiX0/HxRjcDcuUCfPqLbAc+eAYcOiWoL+vYFbGxEPQm++AL49Vfg3wmDanpd4lsatZ3ckIaBWu8TQpTC4XAkLddruqrdtWsX3nrrLZXL5/P5yMvLU/q+uvievTTpxC/+XTwqnVhmZib27NmD4OBg2NrawsfHR263RTHxELoWFhZYu3atSvf9xTEUFxdXu7JOSkrCli1bEBkZKXNc5XUPBCCqCXjzTdECAGVlEF6+jLKTJ2F+9So4//wD5OQA58+LlhUrRNu1aAH07Al06yZaOncGrKyq1bqIe2QwxiRxLliwQOnXSuoHSvqEEKVIJ1RFSd/Z2RmTJ09GWVmZyvfr3d3d8eWXX8Ld3V3h8yobY037S7c9GDNmjMxtCHmEQiGKi4vRvHlzubcmxFft8rr7ST8/n89HcXExQkJCUFxcjIKCAgQHByM/P19SEyGuNVBqgiQzM2R4eGDl8+eYvmoVPD08RC3+//lHtJw9C9y8KVqXmgr8/LM4IKBdOxh17QqnDh3A7dsX8PeXdOvLz8/H6tWrqU9/A0XV+4SQajRpEKjJrH7ajkXe/tIDD9U0k5+yahvtTnq+APHYBxYWFpgyZQoAaFSVLvPcHI6oxf/YscD69cD166JbAseOiW4RDB8OuLoCQiFw8yY4sbGwjIwEt1s3oEkTcF97DU2/+Qaep05hwYcfwv3f7pmkYaGkTwipRtH9cWUSb00j8hnCbIQ8Hg/Tpk1D69atUVZWVmuDtezsbOzYsQO5ublyY1d1tLvMzEysWbMGr169QlxcnNzGdMqeBNT63DY2wFtviRoDHjgAZGaKGgPu3y/qJfDWW0DTpkBZGXDhArB2LbghIbDp0wdcGxsgIAAICwPWrhW1K/i39wGpvyjpE0JqpcpJQHx8vMIpeLWd9DWZQTArKwvbtm1DVlZWjdvFxsbi4cOH2LZtm9zYlR1CV/za4+LikJycjPj4eISFhcltTKfsGPnKPrcMNzdgxAhRL4Fjx0RdBe/fB3btAqZP/69BYHm5aByBmBhgyhTReltbwNsb+PBD0f5//CE6idCg62BtMjIyMGfOHMnkQUQzdE+fEKIyRffOxTPbxcfH6/yesHgkP7mN3pSwfft2yeh9CxYsUNiATtzATdPXIz5mYWFhKCoqkgw5LK8xnSrTF2t8EsXhiBK5tzcwZoxonVAIPHokmksgMRG4dk30MyMDePBAtPz6639lNG0KtGsHtG//38/27UVTDmto8+bNSExMxObNm6lhoRZwmCrTYdVjhYWFsLW1RUFBAY0/TYiOVFZW4vHjxwAALy+vGkeEk7dvRkYG3N3dVdpPVeIW8s+fP8fSpUsxZ84ceHp6KnzuqnFVbWFfY4t7OaTL43K5MvvW1TGoSY2v59kzUVsB6ROBpCRAIJBfmKOj7IlAu3aipVkzpeNJS0vDypUrFTaUbIh0ma/oSp8QojXiq/1CNe791tX9fvHz5OXlSdaJW+grMyBN1Rb2qk5+JK9boaI4VD2h0IaMjAzFSdbBQbbbICBqD5CcDNy6JVpu3xb9TE0Fnj4FTp4ULdJcXESDC/n5iX6Kl+bNASMjmU1psiDtoqRPCNEa6X7p6u5bV6QHA/r666+VTvq1ddGrjSqvU3yCYWlpiZcvX9ZJ8pduV6BUdbqZGdCxo2iRVlIC3L3730mA+Gd6umjQoOxs4PRp2X1MTUW3GaROBri+vmjq6yvqaliFPk6K6jtK+oSQRikkJEQybbB4COA5c+agZcuWMtvJ6+evq8FrFHV3VKn/voa01YYBVlZA166iRVpBgahmoOpy/z4yS0ux+c4dTLhzB9WaJjo4AK1aySwZVlZYdewYpn39NTy9vDSLt5Gge/qEEK0yhPvSyigvL8e9e/fg4+ODmTNn4uDBgxg+fDhWrVpV4366vMdctWzx36NGjcIvv/wi9zm1fbWrt/+fUIj506fjytmzCLC3x4JWrf47IXjyRO4uCwDcANDBxATf+vqKTgZatpQ9OfDyEtUg1CN0T58QUm8YQl98Zag7iJBa3eSUVLUWQfz37NmzYWlpKbd2ocZ78GrQ2/+PywX/iy9QyOWCP306IPVahIWFKLl+HVbZ2eCmpkp6EIQlJ2Pzkyf4tKLivzYFVXE4AI8nSv6KFiurOnyh+kVJnxCiVXV9b14bIiIiUFJSUm0s/7pWtWpd/Lf4Sl9elbu2bzfo8/+nqNFeRn4+Vu7bJzqxCQyUrHcD8G15OfD48X9dCR88AB4+/O/3V69ENQVPnoiGJ5bH3l7+yYCnp2hcAycnuW0K6iOq3ieENErS1diVlZVITExEp06dYG5uXuN+umw8VrVqXfw3j8dT2JCvMXRpmz9/Pi5evIju3burdmLDGJCbKzopULQUFNRejrGxqLbAzU20uLtX/53HA2p57yiLqvcJIUTL1K3G1seVcE3PqcvbDYZC7caFHA7g7CxauneXv01BgeITAnFPg8pKIC1NtNTEwUH2ZMDVVdQ9seqipZMDddCVPiGk0ausrERmZiZ4PJ5eGx+qM/BPY+i2ptfXWFEhSvziWwQZGfJ/Ly1VvkxbW/knA/8uhdbWsO3bVyf5ipI+IYQQognGRHMYVD0ZEI9HIL2UldVaXCEAW4Cq9wkhhBCDw+GIGgPa21cfpEgaY6LbCfJOBqSXJ09EQx7rACV9QgghpC5wOKLJiZo2FY06qEhhoegWgA40zBtAhBBCCKmGkj4hhBDSSFDSJ4QQQhoJSvqEEEJII0FJnxBCCGkk6lXSX7duHZo3bw5zc3P06NEDFy9e1HdIhBBCSL1Rb5L+nj17EBkZifnz5+Pq1avw9/fH4MGDkZubq+/QCCGEkHqh3iT9FStWYMKECQgJCUHbtm2xceNGWFpaYuvWrfoOjRBCCKkX6sXgPOXl5bhy5QrmzJkjWcflcjFw4ECcO3dO7j5lZWUokxrusODfmZQKCwt1GywhhBCiAXGeKqgyA6CZmRnMzMw0KrteJP1nz55BIBDA2dlZZr2zszOSkpLk7hMVFSV3CkYPDw+dxEgIIYRoU9WpkufPn49vv/1WozLrRdJXx5w5cxAZGSn5WygUIiAgAFevXgWHw1G6nG7duuHSpUta3ba27QoLC+Hh4YH09PQGPzmQKse3PsehrfI1LUed/ev6M0Dv/4YXhzbL16Ss+vD+B0RX+J6ennj8+LHMlMqaXuUD9STpOzg4wMjICDk5OTLrc3Jy4OLiIncfedUgZmZmsFVxPGMjIyOlv3iU3VbZ7WxsbBr8l54qx7c+x6Gt8jUtR5399fUZoPd/w4lDm+VrUlZ9ev8DQNOmTbX+f6kXDflMTU0REBCAhIQEyTqhUIiEhAT06tVL6XLCw8NVfm5V9lF2W3XiaKgM5VjoOg5tla9pOfQZMCyGchzqy/tf07Lo/Q9wGGNMb8+ugj179mD8+PH48ccf0b17d6xatQq//PILkpKSqt3rr+8KCwtha2urk7mUCTF09P4njZ0uPwP1onofAIKCgvD06VPMmzcP2dnZ6NSpE44cOdLgEj4gug0xf/58rdy/IaS+ofc/aex0+RmoN1f6hBBCCNFMvbinTwghhBDNUdInhBBCGglK+oQQQkgjQUmfEEIIaSQo6dczv//+O3x9fdG6dWts2bJF3+EQUufef/99NGvWDB9++KG+QyGkzqWnp6N///5o27YtOnbsiPj4eJX2p9b79UhlZSXatm2LkydPwtbWFgEBAfjnn39gb2+v79AIqTOnTp1CUVERtm3bhr179+o7HELqVFZWFnJyctCpUydkZ2cjICAA9+7dg5WVlVL705V+PXLx4kW0a9cObm5usLa2xpAhQ3Ds2DF9h0VInerfvz+aNGmi7zAI0QtXV1d06tQJAODi4gIHBwfk5eUpvT8l/Tp05swZDB06FDweDxwOBwcOHKi2zbp169C8eXOYm5ujR48euHjxouSxzMxMuLm5Sf52c3PDkydP6iJ0QrRC088AIfWdNj8DV65cgUAgUGn2WEr6daikpAT+/v5Yt26d3Mf37NmDyMhIzJ8/H1evXoW/vz8GDx6M3NzcOo6UEN2gzwBp7LT1GcjLy8O4ceOwadMm1QJgRC8AsP3798us6969OwsPD5f8LRAIGI/HY1FRUYwxxs6ePctGjBgheXzq1Kls586ddRIvIdqmzmdA7OTJk2zkyJF1ESYhOqPuZ6C0tJT17duXbd++XeXnpCt9A1FeXo4rV65g4MCBknVcLhcDBw7EuXPnAADdu3fHrVu38OTJExQXF+PPP//E4MGD9RUyIVqlzGeAkIZMmc8AYwzBwcEYMGAAPvnkE5Wfg5K+gXj27BkEAkG1CYScnZ2RnZ0NADA2NsYPP/yAN954A506dcIXX3xBLfdJg6HMZwAABg4ciMDAQBw+fBju7u50QkAaDGU+A2fPnsWePXtw4MABdOrUCZ06dcLNmzeVfo56M8seERk2bBiGDRum7zAI0ZsTJ07oOwRC9KZPnz4QCoVq709X+gbCwcEBRkZGyMnJkVmfk5MDFxcXPUVFSN2hzwBp7OriM0BJ30CYmpoiICAACQkJknVCoRAJCQno1auXHiMjpG7QZ4A0dnXxGaDq/TpUXFyMlJQUyd+pqalITEyEnZ0dPD09ERkZifHjx6Nr167o3r07Vq1ahZKSEoSEhOgxakK0hz4DpLHT+2dA3a4GRHUnT55kAKot48ePl2yzZs0a5unpyUxNTVn37t3Z+fPn9RcwIVpGnwHS2On7M0Bj7xNCCCGNBN3TJ4QQQhoJSvqEEEJII0FJnxBCCGkkKOkTQgghjQQlfUIIIaSRoKRPCCGENBKU9AkhhJBGgpI+IYQQ0khQ0ieEEEIaCUr6hBBCSCNBSZ8QQghpJCjpE0IIUSg9PR39+/dH27Zt0bFjR8THx+s7JKIBmnCHEEKIQllZWcjJyUGnTp2QnZ2NgIAA3Lt3D1ZWVvoOjaiBrvSJQenfvz+mTZum7zDqREN7rfp8Pc+fP4eTkxMePXqkl+dvyFxdXdGpUycAgIuLCxwcHJCXlyd5fPTo0fjhhx/0FB1RFSV9opanT59i0qRJ8PT0hJmZGVxcXDB48GCcPXsWQP1IaBwOp8bl22+/VaocXb7W4OBgjBgxQqV99HXs9+3bh0WLFmk9hn79+iE0NLTGbb777jsMHz4czZs31+i51DnejcmVK1cgEAjg4eEhWTd37lx89913KCgo0GNkRFnG+g6A1E8jR45EeXk5tm3bhpYtWyInJwcJCQl4/vy5vkNTWlZWluT3PXv2YN68eUhOTpass7a21kdY9ZadnZ3Wy2SM4dq1awgMDFS4zcuXLxETE4OjR49q/fnrQnl5OUxNTfUaQ6dOnVBZWVlt/bFjx8Dj8QAAeXl5GDduHDZv3iyzTfv27dGqVSv89NNPCA8Pr5N4iQYYISp68eIFA8BOnTol9/Hx48czADJLamoqY4yx0tJSNmXKFObo6MjMzMxY79692cWLFyX79uvXj02dOlXy9++//85sbGzYTz/9xBhjTCAQsCVLlrDmzZszc3Nz1rFjRxYfHy/z/PHx8ax9+/bM3Nyc2dnZsTfffJMVFxfX+JpiY2OZra2t3Mdqirmm1/rnn3+y3r17M1tbW2ZnZ8feffddlpKSovC1KjqWw4cPl9lnypQp7Msvv2TNmjVjzs7ObP78+TLby4untuNWW7nKHFfx61EUw7Zt25idnR0rLS2VKXf48OFs7Nixcl9/cnIyA8D++ecfhccoPj6eOTo6yqzr168fmzx5Mps6dSpr2rQpc3JyYps2bWLFxcUsODiYWVtbs1atWrHDhw8rPN7qxMuYcv/38PBwNnXqVGZvb8/69+/PGBO9t5ctW8ZatWrFTE1NmYeHB1u8eLHkNdZ07Gv7/9ZUtjJKS0tZ37592fbt2+U+vmDBAtanTx+lyyP6Q0mfqKyiooJZW1uzadOmVftCZIyx/Px81qtXLzZhwgSWlZXFsrKyWGVlJWOMsYiICMbj8djhw4fZ7du32fjx41mzZs3Y8+fPGWOyiXDnzp2sSZMm7LfffpOUvXjxYubn58eOHDnCHjx4wGJjY5mZmZnkBCQzM5MZGxuzFStWsNTUVHbjxg22bt06VlRUVONrqinp1xRzTa9179697Ndff2X3799n165dY0OHDmUdOnRgAoGg2mtVRF7St7GxYd9++y27d+8e27ZtG+NwOOzYsWM1Hvvajltt5SpzXMWvR1EML1++ZLa2tuyXX36R7JOTk8OMjY3Z//73P7mvf9euXczIyIiVlJQoPEYRERHs7bffllnXr18/1qRJE7Zo0SJ27949tmjRImZkZMSGDBnCNm3axO7du8cmTZrE7O3tZcqWPt7qxMuYcv93a2tr9uWXX7KkpCSWlJTEGGNs5syZrFmzZiwuLo6lpKSwv/76i23evFmpY1/b/1dR2coQCoVs9OjR1U4Cpf3555/M1NRU7vcBMSyU9Ila9u7dy5o1a8bMzc3Za6+9xubMmcOuX78ueVxeQisuLmYmJiZs586dknXl5eWMx+Ox5cuXy+y3du1aZmtrK1ObUFpayiwtLatd9fH5fDZmzBjGGGNXrlxhANijR49Uej2Kkr4qMdfm6dOnDAC7efOm0vvJS/pVr6i6devGZs2aJbONdLnKHLfaylXmuEo/r6LXNmnSJDZkyBDJ3z/88ANr2bIlEwqFcsucMWMGa9u2rcLnZEx05R0aGlotFunXU1lZyaysrNgnn3wiWZeVlcUAsHPnzknWVT3eqsYrj7z/e+fOnWW2KSwsZGZmZnITcW3Hvrb/b01lK+Ovv/5iHA6H+fv7S5YbN27IbHP9+nW1Pnek7tE9faKWkSNH4t1338Vff/2F8+fP488//8Ty5cuxZcsWBAcHy93nwYMHqKioQO/evSXrTExM0L17d9y9e1eybu/evcjNzcXZs2fRrVs3yfqUlBS8fPkSb731lky55eXl6Ny5MwDA398fb775Jjp06IDBgwdj0KBB+PDDD9GsWTO1XqeyMctz//59zJs3DxcuXMCzZ88gFAoBAGlpaWjfvr1a8QBAx44dZf52dXVFbm6uwu2VOW61laut4zphwgR069YNT548gZubG+Li4hAcHAwOhyN3+6tXryIgIKDGMl+9egVzc/Nq66Vfj5GREezt7dGhQwfJOmdnZwCo8dipGi+g3P+96mu6e/cuysrK8Oabb1Yrr7ZjX9v/t6ayldGnTx/Ja1DEwsICgKh9BTFslPSJ2szNzfHWW2/hrbfewjfffIOwsDDMnz9fYdJXVufOnXH16lVs3boVXbt2lXzBFhcXAwD++OMPuLm5yexjZmYGQPTlfvz4cfzzzz84duwY1qxZg6+//hoXLlxAixYtNIpLVUOHDoWXlxc2b94MHo8HoVCI9u3bo7y8XKNyTUxMZP7mcDg1fikrc9xqK1dbx7Vz587w9/fH9u3bMWjQINy+fRt//PGHwu2vXr2KoUOH1limg4MDXrx4UW29vNcjvU78vqrp2KkaL6Dc/71qH3dx0pSntmNf2/83Pz+/xni1QdyFz9HRUefPRTRDXfaI1rRt2xYlJSUAAFNTUwgEApnHW7VqBVNTU0m3PgCoqKjApUuX0LZtW5ntTp48iYMHD2LKlCky5ZuZmSEtLQ3e3t4yi3QXIg6Hg969e2PBggW4du0aTE1NsX//frVekzIxy3utz58/R3JyMubOnYs333wTbdq0kZuYdKFqPMoet9qoclzlHROxsLAwxMXFITY2FgMHDlQYw8OHD5Gfn1/rlX7nzp1x584dpV+HqpSNF1D//966dWtYWFggISFB7uM1Hfva/r+1la0Nt27dgru7OxwcHHT2HEQ76EqfqOz58+cIDAxEaGgoOnbsiCZNmuDy5ctYvnw5hg8fDgBo3rw5Lly4gEePHsHa2hp2dnawsrLCpEmT8OWXX8LOzg6enp5Yvnw5Xr58CT6fL/McPj4+OHnyJPr37w9jY2OsWrUKTZo0wYwZMzB9+nQIhUL06dMHBQUFOHv2LGxsbDB+/HhcuHABCQkJGDRoEJycnHDhwgU8ffoUbdq0Ueu1KhOzvNfarFkz2NvbY9OmTXB1dUVaWhpmz56t2YFXkrx4ajtutVH1uMqLgcsVXWN89NFHmDFjBjZv3ozt27crfM4rV66Aw+FIBoZRZPDgwZgzZw5evHih9m2cmigbLwC1/+/m5uaYNWsWZs6cCVNTU/Tu3RtPnz7F7du30b59+xqPvTKfC0VlV/3cqeuvv/7CoEGDtFIW0TF9Nyog9U9paSmbPXs269KlC7O1tWWWlpbM19eXzZ07l718+ZIxJupq1bNnT2ZhYSHTje3Vq1dsypQpzMHBQakue3fu3GFOTk4sMjKSMSZqSbxq1Srm6+vLTExMmKOjIxs8eDA7ffq0ZPvBgwdLutf5+PiwNWvW1Pqaamq9X1vMil7r8ePHWZs2bZiZmRnr2LEjO3XqFAPA9u/fL/e1yiOvIV/VfYYPH87Gjx9fYzy1HbfaylXmuEqXoeiYiH3yySdyu8NJmz17NvPx8anx+Ih1796dbdy4UW4sYl5eXmzlypUy66T/H+K4Ro4cWa18ZeIVU/f/LhAI2OLFi5mXlxczMTFhnp6ebMmSJUod+9r+v4rK1oZXr14xW1tbmQaRxHDR2PuEkDr35ptvol27doiOjtZKeX/88Qe+/PJL3Lp1S1KjoI63334b3t7eWLt2rcx6bcfbkGzYsAH79+/HsWPH9B0KUQJV7xNC6syLFy9w6tQpnDp1CuvXr9daue+++y7u37+PJ0+eqNROQTqus2fP4tSpU5g4caLO421ITExMsGbNGn2HQZREV/qEkDrTvHlzvHjxAt988w1mzJih73Ak3n//fVy6dAnjx4/H4sWLJS37DTVeQtRFSZ8QQghpJKjLHiGEENJIUNInhBBCGglK+oQQQkgjQUmfEEIIaSQo6RNCCCGNBCV9QgghpJGgpE8IIYQ0EpT0CSGEkEaCkj4hhBDSSFDSJ4QQQhoJSvqEEEJII0FJnxBCCGkk/h8TRMgc66qq9gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PvI_plot_Step2 = HtoH.PvI(CatP, CatdP, CatI, Iscale=[0.6,100.0], Pscale=[0.0,30.0], showfit='true', weighted='false', errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "59006181",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Power law index: -1.2136995408699796 ± 0.06039261867803632\n",
      "Coefficient: 1.7836873711297122e+27 ± 5.408709406729867e+27\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfUAAAF2CAYAAAB3bAFnAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/P9b71AAAACXBIWXMAAA9hAAAPYQGoP6dpAAB5GUlEQVR4nO3dd1xV9f/A8de9IOACRRRBcOHOPduZmmaZ29SGglhZOMlKW/7UirRhrvSbMZxplJqlWWmOMjW3mYqpKCgIKgiigsI9vz9u98aFC9x7uXCH7+fjcR/CuWe8L9d73+ezVYqiKAghhBDC4altHYAQQgghrEOSuhBCCOEkJKkLIYQQTkKSuhBCCOEkJKkLIYQQTkKSuhBCCOEkJKkLIYQQTkKSuhBCCOEkJKkLIYQQTkKSehnLycnh//7v/8jJybF1KEIIYRH5HnMcdpHUFy1aROvWrfH09MTT05P77ruPH3/8Uf98dnY2YWFh1KhRgypVqjBo0CBSUlJsGLHpcnJymD59unwYhBAOS77HHIddJPWAgAA+/PBDDhw4wP79++nWrRv9+vXj77//BmDSpEl8//33xMbGsmPHDpKSkhg4cKDZ11m4cGGp4izt8aJ8OOv7ZK+vy1ZxlfV1rX1+a51PvsfuDha/T4qdql69uvLll18q165dUypUqKDExsbqnztx4oQCKLt37zbrnM2bNy9VTJYcn5GRoQBKRkZGqa4tTFfa99le2evrslVcZX1da5/fWueT77G7g6Xvs6sVbyysIi8vj9jYWG7cuMF9993HgQMHuHPnDj169NDv06xZM+rWrcvu3bu59957jZ4nJyfHoKpIo9GQk5NDRkYGKpXK4tgyMzPNOka3v7nHCctZ8j45Ant9XbaKq6yva+3zW+t8pT2PfI/ZP0VRyMnJ4dq1a6jV/1Wou7u74+7uXuLBduHo0aNK5cqVFRcXF8XLy0vZuHGjoiiKsnLlSsXNza3Q/p06dVJef/31Is83bdo0BZCHPOQhD3nIwyke06ZNKzGX2k1JvWnTphw+fJiMjAy++eYbRo4cyY4dOyw+39SpUwkPD9f/npGRQd26dUlMTMTT09MaIQtrePttmD8fnngCvvrK1tE4ndzcXC5evEidOnVwdbX8417UeXJzc0lISACgVq1anDhxgsaNG/PPP//QqlUrPDw8rBaDEHeLzMxMAgMDSUhIwMvLS7+9xFI6YDefMDc3Nxo1agRAhw4d2LdvH3PnzmXo0KHcvn2ba9euUa1aNf3+KSkp1K5du8jzFVVNoethL+zEmDHapP7TT3DzJhTzngrz5ebmkpmZiaenJ2q12uBnS89TMKlXrVoV0H62KleubPCvLqkbO1YIUTwvLy+z85Vd9H43RtcG3qFDBypUqMDWrVv1z8XFxZGQkMB9991nwwiFVbRoAffeC3l5sGKFraNxahqNhmvXrqHRaGwdihCijNjFbfPUqVPp3bs3devW5fr166xatYrt27fz008/4eXlRWhoKOHh4Xh7e+Pp6cm4ceO47777iuwkJxxMSAjs2QPR0fDqq2BhR0YhhLjb2UVST01NZcSIESQnJ+Pl5UXr1q356aefeOyxxwCYM2cOarWaQYMGkZOTQ69evfj8889tHLWwmqFDYeJEOH4c/vwTunSxdURCCOGQ7KL6PTIyknPnzpGTk0NqaipbtmzRJ3QADw8PFi5cSFpaGjdu3GDt2rXFtqcLB+PlBYMHa3+OirJtLKLUkpOTiYyMJCkpydahCHHXsYukLgSjRmn//eorbYc54bCWLVvG6dOniY6OtnUoQtx1JKkL+/Dww9CgAVy/DmvX2joaUQojRoygUaNGhISE2DoUIe46ktSFfVCrtR3mQKrgHZyfnx+hoaH4+/vbOhQh7jqS1IX9GDlS2/N92zY4e9bW0QghhMORpC7sR926oOsgGRNj01CEEMIRSVIX9kVXBR8To52QRgghhMkkqQv70r8/VKsGiYnw66+2jkYIIRyKJHVhXzw84NlntT9HRto2FiGEcDCS1IX90Y1ZX7cOLl+2bSyiRCkpKcybN4/k5GRbhyLEXU+SurA/7dtDp05w+7Z2Pnhh19asWUNcXBwx0rlRCJuTpC7s05gx2n//9z+QVcXs2tChQ2natCnBwcG2DkWIu54kdWGfhg3Tzgl/9iz88outo7krWLo0q6+vL+PHj8fPz6+MIhNCmEqSurBPlSppJ6MBWLTItrHcJSxJ6klJScybN4+UlJQyjEwIYSpJ6sJ+6argv/8eLlywbSzCqMjISOLi4lizZo2tQxFCIEld2LPmzeGRR7Rt6kuW2DoaYURoaChNmzZl6NChtg5FCIEkdWHvXn5Z+++SJXDnjm1jEYX4+/szfvx4fH19bR2KEAJJ6sLeDRgAtWpBcrK2Gl4IIUSRJKkL++bmBqGh2p+lw5wQ5S4mJgaVSoVKpdJv69q1KyqVSoYx2iFJ6sL+vfiidknWLVvgn39sHY0QTkOXnI091q9fD0DNmjXp0qULXbp0sW2wVhQcHIxKpaJr165mHXfo0CHc3d31f6OTJ0+WTYCl4GrrAIQoUf360Ls3bNqknYzm449tHZEQTsXNzY127doZbPP29gbgySef5Mknn7RFWHbl1q1bPPPMM9y+fdvWoRRLSurCMeiGt0VHQ3a2bWMRVmHpZDfC+vz8/NizZ4/B4+GHHwaMV78bM3LkSBo3bkzVqlVxc3OjXr16jB8/nszMTP0+uhJy/fr1Wbp0KYGBgXh6ejJx4kRu3brFxIkT8fLyom7duixevNjg/ElJSYwaNQp/f3/c3Nxo2LAhM2fOJDc3V7+PruZhxIgRTJs2DT8/P6pXr85zzz3H9evXAfTXBtixY4f+tW3fvr3Y1xceHs7JkycZMmSIyX9XW5CkLhzDE09AYCCkpUFsrK2jEVYgSd25fPfdd6SnpxMUFERgYCAJCQnMnz+fUF2fmHySk5N55ZVXcHd35/r168ydO5cOHToQHR2Nl5cXiYmJhIWFceLECQCuXr3KvffeS3R0NFlZWTRv3pzExETeffddXnzxxULnX716NXPmzKFixYpcu3aNlStX8uGHHwLQrl07fHx8AKhataq+acHT07PI1/b999+zePFixo0bxxNPPGGNP1eZkaQuHIOLi7ZtHaDAHbwQonTOnz9fqE3dXDt27ODKlSscPnyYM2fO8NZbbwGwfv16sgvUrt2+fZuff/6ZU6dOERgYCMDp06c5cuQIx48fx8PDA41Gw44dOwBYsGABiYmJ+Pr6cubMGY4cOcI333wDaGsSTp8+bXB+Dw8PTpw4wenTp+nQoQMAW7duBWDdunX65oT27dvraybat29v9HVdunSJ0NBQWrVqxezZs83+u5Q3aVMXjiM0FKZPhz/+gKNHoXVrW0ckhFMw1qZuri1btvDss89y5swZgySem5vL5cuX9ckboHr16jzwwAMA1K1bl8TERFq2bEn9+vUBqFWrFgkJCfrph//8809Au8xvrVq1DK6rKAp79+6lUaNG+m3dunWjTp06ADRr1owDBw5YPJXxSy+9xPXr1/n111/x8PCw6BzlSZK6cBx+ftC/P3zzjXZ4mwxxE8IqdG3qllq5ciWTJ0/WnyswMJArV65w9uxZAPLy8gz2z1/V7erqWmibrqZAURSD46pWrUqLFi0KXb9SpUoGv1erVq3Q+Quey1RHjhzh9u3b3HvvvQAGbfgdOnRg7NixzJo1y6JzlwWpfheORTfD3IoVkK8DjhDCdnQ3BFWrViU+Pp69e/fSs2dPq52/U6dOgDZBr169Wl9l/ssvv/DKK68wYMAAs86nuwm4ceOGSftrNBpu3LjBjRs3yMnJ0W+/efOmwe/2QJK6cCyPPqqdEz4rS9sTXti9pKQk5s6dS1JSkq1DEWWk9b9NYdevX6dhw4Y0bNiQr7/+2mrnDwsLo06dOqSnp9O0aVPatm1LUFAQNWrUYKRuNUczNGvWDID9+/fTqlUr7r33Xm7dumV033PnzqEoiv4Rne9758SJE3z22WcWvaayIkldOBaVCsaP1/48bx4UqNYT9icyMpKTJ08SGRlp61BEGQkNDSU8PBwfHx+uX79O165dmTFjhtXOX7NmTfbs2UNISAg1atTg77//5tatWzz00EPMmTPH7PONGjWKQYMG4eXlxbFjx9i7d2+hJgJHpVIsbWhwMJmZmXh5eZGRkVHs0AXhAG7c0A5vS0+H776Dvn1tHZHdys3N5cKFCwQEBADof9a1Mxa1b8Hni3ouNzeX8+fPA+Dr68uxY8do1qwZJ0+epG3btnh4eJCQkMCcOXOYNGkSdevWNel6QtzNSpOvpKQuHE/lyvDCC9qf7azqSxTm7+/PhAkT8Pf3t3UoQjg9SerCMYWFaceub9umHd4mhBBCkrpwUHXrwsCB2p/nzrVtLEIIYSckqQvHNXGi9t+VK+HyZZuGIrRTf0ZGRpKcnGzrUIS4a0lSF47rvvugY0fIydGu3iZsSjdd57Jly2wdihB3LUnqwnGpVP+V1j//HOx8SURnFxwcTKNGjRgxYoStQxHiriVJXTi2IUO008cmJ8vqbTbm5+dHaGgofn5+tg5FiLuWJHXh2Nzc4JVXtD/PnQt3x7QLQghhlCR14fheegnc3WHfPijFohRCCOHo7CKpR0RE0KlTJ6pWrUqtWrXo378/cXFxBvt07dq10Hq/Y8aMsVHEwq7UrAnPPqv9WSajKRMyf/vdY+fOnTz11FP4+/ujUqlYv359sfub8v1t7jlLY+HChdSvXx8PDw+6dOmiX7a1NMfUr1+/UP5RqVSEhYWV1cuwmF0k9R07dhAWFqZfdefOnTv07Nmz0Ao6L7zwAsnJyfqHIyxYL8rJhAnaf7/9FhITbRuLEzJn/nbd0Da5AXBMN27coE2bNixcuNCk/U35/jb3nAV17dqVmJiYEvdbs2YN4eHhTJs2jYMHD9KmTRt69epFampqqY7Zt2+fQe755ZdfABgyZIhFr6dMKXYoNTVVAZQdO3botz3yyCPKhAkTLD5nRkaGAigZGRlWiFDYpUcfVRRQlDfesHUkduPOnTtKfHy8cufOHYOfS9q3oPPnzysTJ05Uzp8/X+iY06dPK6dPn1auX7+u7N69W5kyZYrStWtX5e233y72vCXF42waN26s3HvvvcrNmzf12zQajdKlSxdlypQpNoysaICybt06s44x9v1d2nM+8sgjSnR0dIn7de7cWQkLC9P/npeXp/j7+ysRERFWPWbChAlKUFCQotFoTHsBZipNvrKLknpBGRkZAHh7extsX7lyJT4+PrRs2ZKpU6dy8+bNIs+Rk5NDZmamwUM4OV1p/X//g+vXbRuLkylq/naNRkNWVhYajUa/bcSIETRq1IiQkJDyDtOurVmzhoMHD7Jr1y79tpUrV3L+/HnefPNN/bYPPviAKlWqFPtISEiwxUswSVHf32Xt9u3bHDhwgB49eui3qdVqevTowe7du616zIoVKxg1ahQqlcq6L6KAgjnMlLXb7S6pazQaJk6cyAMPPEDLli3125955hlWrFjBtm3bmDp1KsuXL+e5554r8jwRERF4eXnpH4GBgeURvrClPn2gSRO4dg2+/NLW0dwVdEldURR9tTtol+KUBVwMtWvXjrZt23Ly5EkAbt68ydSpU3nvvfeoWrWqfr8xY8Zw+PDhYh/2+rct6vvbXAVvbH777TfGjBlT7I3NlStXyMvLw9fX12C7r68vly5dMnodS45Zv349165dIzg42OLXZ6rAwECDPBYREVHiMXa33mFYWBjHjh3j999/N9j+4osv6n9u1aoVfn5+dO/enTNnzhAUFFToPFOnTiU8PFz/e2ZmpiR2Z+fiAq+9pl3B7dNPtYu+uLnZOqq7Rv4Z5fr162frcOxSkyZN9J3IZs+ejY+PT6EaDW9v71KXcqdMmcKsWbOK3efEiRM0a9asVNcpqKjvb3ONGTOGp59+Wv/7s88+y6BBgxioW+8BbHZjExkZSe/evcvl+omJiQZLr7q7u5d4jF0l9bFjx/LDDz+wc+dO/frPRenSpQsAp0+fNprU3d3dTfoDCCfz3HPwzjtw4QKsXg0yu1m5CQ4OJjU1lREjRuirYIWhpk2bsnPnTi5cuMBHH33Exo0bUasNK0w/+OADPvjgg2LPc/z4cYO16Qt69dVXSyxJNmzY0OS4TWHO93dJCt7YVKxYkVq1atGoUaMij/Hx8cHFxYWUlBSD7SkpKdSuXdsqx5w/f54tW7awdu1ac16OxTw9Pc1eT90ukrqiKIwbN45169axfft2GjRoUOIxhw8fBpDZq4QhDw/t1LFTpsDs2fD889rpZEWZyz+jnCR145o0acKSJUuYMmUKPXv2pGvXroX2KVhKNaakUmLNmjWpWbNmaUI1mSXf32XBzc2NDh06sHXrVvr37w9omwO2bt3K2LFjrXJMdHQ0tWrV4sknnyyrl1FqdpHUw8LCWLVqFd999x1Vq1bVt2V4eXlRsWJFzpw5w6pVq3jiiSeoUaMGR48eZdKkSTz88MO0bt3axtELu/PSS/D++/D337BpE9jxB1DcXZo0aUJiYiLffPMNx44dM7qPNarfSyMrK4vTp0/rf4+Pj+fw4cN4e3vrawcWLFjAunXr2Lp1a4nf36aes2AMWVlZ+t9Xr14NYNDOXbNmTVxcXAyOCw8PZ+TIkXTs2JHOnTvz2WefcePGDYMmjvyxm3oMaJN9dHQ0I0eOxNXVLlKncdbuim8JwOhDN4QhISFBefjhhxVvb2/F3d1dadSokfLaa6+Z1d1fhrTdZSZP1g5ve/hhW0diU9Ya0lbUc7du3VJ+//13JS4uTj+kLT09Xdm9e7dy69atYo+924a0KYqi3LhxQ1GpVMqrr75q61CKtG3bNqPfxyNHjtTvM23aNKVevXqKopT8/W3qOfObNm1akefVPeLj440eO3/+fKVu3bqKm5ub0rlzZ2XPnj2Fzq2L3dRjFEVRfvrpJwVQ4uLiSvoTllpp8pVKUe6OybIzMzPx8vIiIyPD7DYK4YAuXoQGDeDOHdi9G+6919YR2URubi4XLlzQt3HqfjZW0si/b8Hni3ouOzubAwcOULNmTfz9/Tl27BjNmjXj5MmTtG3bFg8PjyKPLe56ziotLY0aNWpw5MgRqWUURSpNvrK7IW1CWEWdOtpOc6BtW79LyfSu9uXIkSO4ubnRvHlzW4cinFSpkvqdO3dITEwkLi6OtLQ0a8UkhHW89pr23/XrocBc1HcLc6Z3FWXvyJEjtGjRggoVKtg6FOGkzE7q169fZ9GiRTzyyCN4enpSv359mjdvTs2aNalXrx4vvPAC+/btK4tYhTBP8+bQt692OdaPP7Z1NDYRGhpKs2bNCA0NtXUoApg4cSKHDh2ydRjCiZmV1D/99FPq169PdHQ0PXr0YP369Rw+fJhTp06xe/dupk2bRm5uLj179uTxxx/nn3/+Kau4hTDNG29o/122DJKTbRuLDRQ1vasQwjmZ1Ttl37597Ny5k3vuucfo8507d2bUqFEsXryY6OhofvvtNxo3bmyVQIWwyP33wwMPwK5dMHcufPihrSMSQogyY1ZS/+qrr0zaz93dXdY6F/bj9dehXz9YtAimTgUvL1tHJIQQZcIqvd+vXLnCxo0b2bBhA8l3YRWnsHN9+mjb1zMz4fPPbR2NEEKUmVIn9W+//ZZGjRoxffp0pk2bRlBQENHR0daITQjrUKu1JXTQLvRy44Zt4xFCiDJidlLPP3UfwPTp0/nzzz/5888/OXToELGxsbz11ltWC1AIqxg+HIKC4MoVWLzY1tEIIUSZMDupd+jQge+++07/u6urK6mpqfrfU1JScJPlLoW9cXWFN9/U/vzRR3Drlm3jEUKIMmB2Uv/pp5/44osvGDBggH62qqFDh1K7dm18fHyYMmUKn0u7pbBHzz8P9epBSgosWWLraIQQwurMTur169dn48aNPP300zzyyCMcPnyY06dP88svv7BlyxYSEhJ44oknyiJWIUqnQoX/2tZnzYLsbNvGI4QQVmZxR7nhw4ezb98+jhw5QteuXdFoNPoFHISwW8HBEBAASUkgHTqFEE7GoqS+adMmPvnkE/bv38+XX37J7NmzefbZZ3nttde4JW2Vwp65u/83y1xEBNy+bdt4hBDCisxO6q+++iohISHs27ePl156iZkzZ/LII49w8OBBPDw8aNeuHT/++GNZxCqEdYweDX5+kJionT5WCCGchNlJPSYmhk2bNrF69Wr27dvH8uXLAXBzc2PmzJmsXbuWDz74wOqBCmE1Hh7/reD2wQfaNdeFEMIJmJ3UK1euTHx8PACJiYmF2tBbtGjBb7/9Zp3ohCgrL70EtWpBfDysWmXraMqFrK0uhPMzO6lHREQwYsQI/P39eeSRR5g5c2ZZxCVE2apUCV59Vfvz++9DXp5t4ykHjr62ukaj4dq1a2g0GluHIoTdMjupP/vssyQmJvLdd99x7tw5+vXrVxZxCVH2XnkFatSAf/6B1attHU2Zc/S11SWpC1Eys5J6QkICADVq1KBTp05Uq1at2P0vXrxocWBClLkqVSA8XPvz9OmQm2vbeMqYrK0uhPMzK6l36tSJl156iX379hW5T0ZGBkuWLKFly5Z8++23pQ5QOC6HKFmNHw8+PtrS+tKlto5GCCFKxaz11I8fP87777/PY489hoeHBx06dMDf3x8PDw/S09M5fvw4f//9N+3bt2f27Nkys9xdTpfUq1SpglptlVV+ra9KFe0sc6++CjNmwHPPaceyCyGEAzLrm7ZGjRp8+umnJCcns2DBAho3bsyVK1f4559/AG17+4EDB9i9e7ckdOE4Xn4Z/P0hIUHmhBdCODSzSuo6FStWZPDgwQwePNja8QhR/ipWhLff1nace/99GDVK2zteCCEcjJ3WiQpRzkJDoX59uHQJFi60dTRCCGERSepCALi5wf/9n/bnDz+EzEybhiOEEJaQpC6EzrPPQtOmkJYGc+bYOppyJzPOCeH4JKkLoePqqu0BD/DJJ3D1qm3jKWeOPuOcEMLCpH7+/Hm+//57/vzzT2vHI4RtDR4MbdrA9evw0Ue2jqZcOfqMc0IIC5L6V199RZMmTejXrx/33XcfHTt25PLly2URmxDlT60G3XoG8+ZpO87dJWTGOSEcn9lJffr06TzzzDOcPHmSn3/+GYApU6ZYPTAhbKZPH+jSBW7d+q86XhRJpVLh5eVlvxMMCXEXMftTePbsWaZNm0aTJk3o3r07K1asYPVdsBiGuIuoVNoe8ABffAGnTtk2HjunVqslqQthJ8z+FObm5lIp38QczZo1Q6PRcOkuqqYUd4GuXeHJJ7VLsr75pq2jEUIIk1h0a7106VL++OMPsrKyAHB1deXmzZtWDUwIm/vwQ20b+7ffwu7dto5GCCFKZHZSf+ihh3jvvfd48MEHqVatGo0bNyY7O5vIyEi2bdvG9evXyyJOIcpfy5YQEqL9+bXXQFFsG48dUqvV9r1gjxB3GbM/iTt27CAjI4O4uDhWrFjBgAEDeOSRR1i0aBHdu3enevXqNG/evCxiFaL8TZ+unRt+1y7YsMHW0dgdSepC2BeLP4mNGzdm2LBhzJ49my1btpCWlsaZM2f46quvGDBggDVjFE7CIdZXL6hOHZg0SfvzG29Abq5t4ykle3oPZAY7IazPqrfXDRo0YMiQIXzwwQfWPK1wEvaUUMzy+uvg4wNxceDgs60pikJGRoZdvAcyg50Q1mcXdWYRERF06tSJqlWrUqtWLfr3709cXJzBPtnZ2YSFhVGjRg2qVKnCoEGDSElJsVHE4q7i5QXvvqv9edo0+LeDqDDO1Cp5mcFOCOuzi6S+Y8cOwsLC2LNnD7/88gt37tyhZ8+e3LhxQ7/PpEmT+P7774mNjWXHjh0kJSUxcOBAG0Yt7iovvQRBQZCSAp9+auto7JqpSV1msBPC+lxtHQDA5s2bDX6PiYmhVq1aHDhwgIcffpiMjAwiIyNZtWoV3bp1AyA6OprmzZuzZ88e7r333kLnzMnJIScnR/97piylKUrDzQ0++ACGDoXZs+GFF8DPz9ZRCSGcWMG85e7ujru7e7HH2EVJvaCMjAwAvL29AThw4AB37tyhR48e+n2aNWtG3bp12V3E+OGIiAi8vLz0j8DAwLIPXDi3IUO008feuCET0pQRh+13IUQZCAwMNMhjERERJR5TqpL61q1b2bp1K6mpqYU+hFFRURadU6PRMHHiRB544AFatmwJwKVLl3Bzc6NatWoG+/r6+hY5k93UqVMJDw/X/56ZmSmJXZSOSgVz58K990JMDISFQceOto7KqeiSugyTEwISExPx9PTU/15SKR1KkdSnT5/OjBkz6NixI35+fqhUKktPZSAsLIxjx47x+++/l+o8plRTCGG2Ll3guedgxQqYOBF++02b7IUQwso8PT0NkropLE7qixcvJiYmhueff97SUxQyduxYfvjhB3bu3ElAQIB+e+3atbl9+zbXrl0zKK2npKRQu3Ztq11fCJN8+CGsXaudkGbNGhg2zNYR2TW1Wk21atWk5C1EObD4U3b79m3uv/9+qwShKApjx45l3bp1/PrrrzRo0MDg+Q4dOlChQgW2bt2q3xYXF0dCQgL33XefVWIQwmR16oBuueHXXwdZ96BYktSFKD8Wf8pGjx7NqlWrrBJEWFgYK1asYNWqVVStWpVLly5x6dIlbt26BYCXlxehoaGEh4ezbds2Dhw4QEhICPfdd5/Rnu9ClLnJk6FuXUhMhI8/tnU0QggBlKL6PTs7my+++IItW7bQunVrKlSoYPD8p2aM5V20aBEAXbt2NdgeHR1NcHAwAHPmzEGtVjNo0CBycnLo1asXn3/+uaXhC1E6FStqh7YNG6atjg8JAemIKYSwMYuT+tGjR2nbti0Ax44dM3jO3E5zigmrX3l4eLBw4UIWLlxo1rmFKDNPPw0LFsDvv2ur41eutOg0Go2GzMxMPD09Ha6KWjd/+6RJk6hVq5atwxHirmdxUt+2bZs14xDC8ahU8Nln0KkTrFoFY8eCBX08HHkYV/7526dOnWrrcIS46znWN4gQ9qZDB/i3iYixYyEvz6bhlDeZv10I+1KqyWeuXbtGZGQkJ06cAKBFixaEhobi5eVlleCEcAgREdohbgcPwv/+B6+8YuuIyk3++dtzHXxZWiGcgcUl9f379xMUFMScOXNIS0sjLS2NOXPmEBQUxMGDB60ZoxD2zdcX3n9f+/Nbb0Fqqm3jEULctSxO6pMmTaJv376cO3eOtWvXsnbtWuLj4+nTpw8TJ060YohCOIAxY6BdO7h2Dd54w9bRCCHuUqUqqb/xxhu4uv5Xg+/q6srrr7/O/v37rRKcEA7DxQV0IzNiYrSzzQkhRDmzOKl7enqSkJBQaHtiYiJVq1YtVVBCOKT77gNdh7FXXgFpYxZClDOLk/rQoUMJDQ1lzZo1JCYmkpiYyOrVqxk9ejTDhw+3ZoxC6Nn90pwREVC9Ohw9Ck40OZJM9SqEY7C49/vHH3+MSqVixIgR+l6vFSpU4OWXX+bDDz+0WoBC5Gf3Y7pr1tQm9jFj4J13tGuw+/nZOqpS0yV1c/a1y/dHCCdn8afOzc2NuXPnkp6ezuHDhzl8+LC+B7wseSruaqNHa9dZz8zUzhF/l7E0qdt9LYwQDqDUt9KVKlWiVatWtGrVikqVKlkjJiEcm4uLtupdpdLONPfzz7aOqFyo1epS1aBoNBoyMjJMmjZaCGGcWdXv4eHhzJw5k8qVKxMeHl7svuYs6CKE0+nUCcaNg3nztFXxx46BFW967XG++NImdSFE6ZmV1A8dOsSdO3f0PxfF3AVdhHBK772nnWkuPh5mzNCu5mYluqrqSpUqcfPmTbtK7mUl/+IxdevWtXU4Qtgls5J6/kVcli5dSkBAQKEvEkVRSExMtE50QjiyqlW11fB9+2rXXB8+HNq0Mfs0xZXK7bHjoC4ma99o5F88Zvr06VY7rxDOxOJPXIMGDbhy5Uqh7WlpaTRo0KBUQQnhNJ56CgYN0i708sILFi344mgdyMoqXlk8RoiSWZzUi+rMkpWVhYeHh8UBCeF05s0DT0/Yt8+pxq6Xt/yLxwghjDN7nLqug5xKpeLdd9816PGel5fH3r17adu2rdUCFI5L2kD/5e8Ps2bByy/Dm29C//4QGGjrqIQQTsjskvqhQ4c4dOgQiqLw119/6X8/dOgQJ0+epE2bNsTExJRBqMLR5G8Dveu9+CLcfz9kZWmnkL2Lhm1Zszre0ZoihChvZpfUdZ3lQkJCmDt3Lp6enlYPSjiH0NBQMjMzpQ0UQK2GJUugbVv44Qft+PVnn7V1VFZV1KQz1uzMpygKGRkZMmOdEEWw+FMRHR0tCV0US9pAC2jRAqZN0/48bhxcumSzUMqixGuL6WGl5C6EIYs/fREREURFRRXaHhUVxaxZs0oVlBBO6/XXteuup6fbtBreWZKhs7wOIazF4qT+v//9j2bNmhXafs8997B48eJSBSWE06pQAaKjwdUV1q2Dr7+2dUQGJEkK4dgsTuqXLl3Cz8jqUzVr1iQ5OblUQQnh1Nq0gbfe0v48diykpto2nnx0bda2SuopKSnMmzePpKQkm1xfCEdncVIPDAxk165dhbbv2rVL2lCFKMmbb0Lr1nDlCuoJE6x+ekctca9Zs4a4uDgZMSGEhSxO6i+88AITJ04kOjqa8+fPc/78eaKiopg0aRIvvPCCNWMUwvm4uWmr4V1cUH/zDZU2bbLq6R01qQ8dOpSmTZvKiAkhLGT2kDad1157jatXr/LKK69w+/ZtFEWhYsWKvPHGG0yZMsWaMQrhnNq3hylT4P33qfH22yh9+0JAgFUvkb9HuiMkeF9fX8aPHy+1fUJYyOKSukqlYtasWVy+fJk9e/Zw9OhR0tLSePfdd2WVNiFM9e67KK1b45KejnrMGKv3hjdnmJlGoyErK8shkr8QwjiLS+o6CQkJXL16ldu3b3P27Fn99r59+5b21EI4Pzc38pYuxaVLF9QbN0JkJIwebZNQdEm9YsWKNrm+EKL0LE7qZ8+eZcCAAfz111+oVCr9Ai+6UnqeBatRCXFXatmS9FdfxTsiAiZNgm7doGFDW0clhHBAFle/T5gwgQYNGpCamkqlSpU4duwYO3fupGPHjmzfvt2KIQpRmKN2BCtKZmgoyoMPaueGHznSoiVaTSFDxoRwbhYn9d27dzNjxgx8fHxQq9W4uLjw4IMPEhERwfjx460ZoxCFOFtSx8WFvKgoqFIFfv8dPvmkTC6jGzIWHR1dJucXQtiWxUk9Ly+PqlWrAuDj46O/869Xrx5xcXHWiU6Iu0mDBjB3rvbnt9+GI0esfgndkLGQkBCrn9ueON1NnxAmsjipt2zZkiP/ful06dKF2bNns2vXLmbMmEFDaQ8UwjIhIdCvH9y5A8OHw82bVj29rYeMlVeylaQu7lYWJ/W3335b/4GZMWMG8fHxPPTQQ2zatIl58+ZZLUAh7ioqFXz5Jfj5wYkT8OqrFp/KHhObPcYkhDOxuPd7r1699D83atSIkydPkpaWRvXq1WWcuhCl4eMDy5fDY4/B4sWouneHjh3NPo2sPS7E3ceiT/qdO3fo3r07//zzj8F2b29vSehCWEP37vDaawCoX3oJFwdbJElK5ELYhkVJvUKFChw9etTasQgnl5SUxNy5c2U4lalmzoSOHVGlpeHz6qtlNsytLFhrtTe5ORDCPBbXyT333HNWW0lp586dPPXUU/j7+6NSqVi/fr3B88HBwahUKoPH448/bpVri/ITGRnJyZMnZQUuU7m5wapVKJUrU3H3blQff2zriMqdJHUhzGNxm3pubi5RUVFs2bKFDh06ULlyZYPnP/30U5PPdePGDdq0acOoUaMYOHCg0X0ef/xxg7G17u7ulgUubCY0NJTMzExZgcscjRujmTsXl9GjUU+bBo88Ag8+aNGp1Go1Xl5eZGZmWjlI29HV/kyaNIm6devaOhwhbM7ipH7s2DHat28PwKlTpwyeM7ddvXfv3vTu3bvYfdzd3aldu7Z5QQq74u/vz4QJE2QFLjMpI0aQ9cMPVFm/HoYNg8OHoVo1s8+jW9wlKyvL2iHaTP7an+nTp9s6HCFszuKkvm3bNmvGUaLt27dTq1YtqlevTrdu3XjvvfeoUaNGkfvn5OSQk5Oj/92ZSifiLqNScfW996h84gSquDgYMQIKNFHdraT2RzizgnnL3d29xFpqs9vUz549q1+8pbw8/vjjLFu2jK1btzJr1ix27NhB7969i100JiIiAi8vL/0jMDCwHCMWZcUZO9uZ8pqUypXJ++or8PCAH39EVUbTyJrDWu3duvNcuHCBefPmkZKSYvKxUvsjnFlgYKBBHouIiCjxGLOTeuPGjbl8+bL+96FDh5r1IbTEsGHD6Nu3L61ataJ///788MMP7Nu3r9iFY6ZOnUpGRob+kZiYWKYxivKhq251prnLTe5A2KoVzJ8PgPqdd3Dft68coiuaRqMhIyOj1Df5uqQeGRlJXFwca9assVKEQji2xMREgzw2derUEo8xO6kX/ABv2rSJGzdumHuaUmnYsCE+Pj6cPn26yH3c3d3x9PQ0eAjHFxoaSrNmzZxq7nLdazKpCjk0FJ59FlVeHjXHj4d8N9hlrax7ooeEhNC0aVOGDh1aJucXwtEUzGGmdBB3yGmmLly4wNWrV/Hz87N1KKKcOWN1q1mvSaWCxYtRmjbF9dIlLg8bxtw5cyxujsifqNVqNVWqVCmyo2tZJ3V/f3/Gjx+Pr69vmZxfiLuB2UldN0684LbSyMrK4vDhwxw+fBiA+Ph4Dh8+TEJCAllZWbz22mvs2bOHc+fOsXXrVvr160ejRo0MpqoV4q5RpQp5a9agqVSJqD/+4MwPP1g89t9YUrf2lLLO2A9CCHtldu93RVEIDg7WVwNkZ2czZsyYQuPU165da/I59+/fz6OPPqr/PTw8HICRI0eyaNEijh49ytKlS7l27Rr+/v707NmTmTNnylh1cfe65x6uzJrFC+PGwdmzjLKjjqBJSUnMmzePoUOHUq9ePYM+A++8846twxPCqZmd1EeOHGnw+3PPPVfqILp27VpsZ5uffvqp1NcQwtnc7NOHgLg4pi1YgPLqq9qJaRo3tnVYBh3eOnfuXGjYma52wJJ+LikpKaxZs4ZXX33VYLIZ3TmrVKlCVlYWlSpVstrrEcKRmJ3UnanXsRCOLveDD8jdsweP/fth4EDYswcK1JpZgznt6aGhoVy7dk3f4a1gnwHdvPBVqlQxO441a9YQFxdXaLIZXXxubm5cuHCBhg0bmn1uIZyBQ3aUE0L8q0IFLi9ciFK7Nhw7BqNGQRnMI2HO8LWy7PA2dOhQmjZtWuRIAY1GQ1ZWlswVL+5aktSFcED5O5/l1apF3urVUKECfP01fPihrcMrM76+vowfP96pRj8IYU2S1IVwQIUm4XngAViwQPvzW2+h/PCDRSXWlJQU5s2bJz3VrURWmRPlTZK6EA7I6CQ8L74IY8aAouA6ciR5f/9t9mxv+dusRelJUhflTZK6EA6oyAlr5s6FBx9ElZlJ8ylTUJu5kFFJbdZCCPtm8SptAFu3bmXr1q2kpqYWuhONiooqVWBCCAu4ucE336B06EDFxET8Jk6EX34BV9M+6pa0WetKo97e3iZNXKPRaLh58yYA1apVMzhGpVLh6elp9QlwhLhbWPzJmT59Oj179mTr1q1cuXKF9PR0g4cQwjrMnpHN15fbsbHkeXhQedcu1BMmlEmPeB3dEDVTq5gVRdGv6V4wqevWfJekLoRlLC6pL168mJiYGJ5//nlrxiOEKCD/jGz5x2YXR2nXjlPTptHszTdRL1kCTZvCq6/qn09KSmL+/PmMGzdOEqgQTsTiT/Pt27e5//77rRmLEMIIs1ZxyyftoYe4PGWK9pfXXoP16/XPRUdH2+UStsV1LFOr1Xh5eZV6rQkhnJnFSX306NGsWrXKmrEIIYwozcp010aORPPSS9rq92eegQMHAO0yp+YuYWtsYhddG7i1Em1xVflSNS9EySyufs/OzuaLL75gy5YttG7dmgoVKhg8/+mnn5Y6OCGEZZKSkoiKiiI4OJiGn32G+vx52LwZlwEDcPnmG2q3b8+ECROoXbs2ly5dMumcurbw/AlXl2izs7NNjmvBggV0797dYHvB1eJMJYleCEMWfxKOHj1K27ZtUavVHDt2jEOHDukfuiVUhRC2ER0dzZkzZ4iNjdX2fF+zBlq2RJWcjG9oKFy/bpO4dIu9bNiwwWC7oihkZmaaPa6+YFJPTk4mMjKS5ORkq8UshCOxuKS+bds2a8YhhLCikJAQkpKSGDJkiHaDpyf88ANKly64nTxJ3vPP/zcDnYWKmmddt93YSmmhoaGkp6cXKqlbcm3dSm/5S+kxMTGcPn2amJgYXnjhhVJdQwhHJHVWwiGZPczrLuPv78+oUaMMF1WpV4+8devQeHjg8tNPeM+caXCMbh30lJQUk65RUlLXlbrz7+fv78/YsWPx8fEp1esrqkNdcHAwjRo1Ijg4uFTnF8JRlSqpX7t2jU8++YTRo0czevRoPv30UzIyMqwVmxBF0vXelulMzdSpE1fmzEFRqfBctgyXfH1f8q+Dbk3luXKan58foaGh+Pn5lfm1hLBHFif1/fv3ExQUxJw5c0hLSyMtLY05c+YQFBTEwYMHrRmjcFBl2YlJ13tbpjM1383HHyc3IgKACm+9RZXYWEBbNd60aVP9OuglSUpKkvbrEkiNkihvFn/bTpo0ib59+3Lu3DnWrl3L2rVriY+Pp0+fPkycONGKIQpHVZZJvTTDvATkTZhAxksvAVBjyhRU339v9jro0dHR+vZrcymKoq8+N7fa35HknzhIiPJQqpL6G2+8gWu+OaVdXV15/fXX2b9/v1WCE0JYV/6q8PQ33iB3xAhUGg3q4cPht9/MOldISIjF7de63u4ajUZf7R/7b42BM7F04iAhLGVxUvf09CQhIaHQ9sTERKpWrVqqoIQQZcOgfVulInfhQm726IEqJweX/v1xO3Gi0P5FzfDm7+9fZPv1lStXWLBggUnVzrpqf31P/XxMrb7Wva6LFy/aVZOA1CiJ8mZxUh86dCihoaGsWbOGxMREEhMTWb16NaNHj2b48OHWjFEIUVZcXbk8fz7KQw+hyszELyQE1/Pn9U9rNBp9nxlzOrpt2LDB5HXZi6v2N7X6+sKFC8ydO5f58+db3CQghDOwOKl//PHHDBw4kBEjRlC/fn3q169PcHAwgwcPZtasWdaMUQhRhhQPD/LWrUNp3RrXK1fwDw6GfCVdSyaG6du3r1nrshfVQ97U6mtd+z5Ao0aN6N27t806qBVXuyFEWbM4qbu5uTF37lzS09M5fPgwhw8f1veAd3d3t2aMQoiy5uVF3saN3AkMpEJiIi59+sC1axafzsfHh7Fjx5pc7aybgrbgjYOp1de69v2wsDBCQ0P58ccfbdZBTZK6sKVSd0uuVKkSrVq1olWrVkZnkBJC2IY57doA1K5NUkwMuT4+qI4ehSefLPV0svkTXFkmu4Lt+8HBwQ7bQU1uCkRpmDVNbHh4ODNnzqRy5cqEh4cXu68s6CKEbW3YsIELFy4Uuw67bl31SZMm4e/vT269eiRHRxPw/POo/vgDdb9+3Jw9m/Tbt/n666957LHHzIpBo9Hoq+41Gg0ZGRlmz+9uCT8/P4ftoKZL6lWqVJGFaoTZzErqhw4d4s6dO/qfiyLrHQthe3379mXr1q0GpVW1Wm2QLPLPzPfOO+8AcLt5c/I2bcL18cdR//YbgWPH8kXHjpw6e5Zbt27Rq1cvm7weIUTJzErq+RdxWbp0KQEBAYXuJBVFITEx0TrRCSEsZqxdu2BSDwkJISsrq3A1dadOsHkzSs+eVDtwgPEqFfM6dqTH44+XOq7U1FSWLl1KSEgIDRs2LPX5QFu6vXXrllRZi7uexXU7DRo04MqVK4W2p6Wl0aBBg1IFJYQoH8V2RLvvPm6vX0+ehweN9+8n4vhxanp6Fns+Y+3BKpXK4EYiNjb2v2Vh81GpVFStWtWimj5Lk7q0XwtnY3FSL6pdLCsrCw8PD4sDEkLYD+WBBzg+ezYaDw+q7NxJ03ffhdu3i9w/fxu6TsHagSFDhhAUFFRoshlrTCtc8Fr54zKWvCWpC2dj9nrqug5yKpWKd99916DHe15eHnv37qVt27ZWC1CI/MpyPnlhXGb79iQuWIDLyy8T+fvvjHr6aQK//97WYRlVUlKXzmfC2Zmd1HUd5BRF4a+//sLNzU3/nJubG23atGHy5MnWi1CIfHRJPTc319ah3FVu3n8/S3r14tzGjUT99BPTnnkGLBwDnr/6/b777rPoHOW5nKsQjsTspK7rLBcSEsLcuXPxLKGNTQhRdsqz5qLf5MnEZmczevt2+OYbKty6heq110hOTubzzz/XD4sryZAhQ7h586bRud5Lonu9gNlJXVda9/b2LrfSutQsifJmdlLXiY6OBuD48eMkJCRwu0A7W9++fUsXmRCiRPmTXFmrVasWw//v/6h59SoMHYrLxo00vXyZjx55pNCwuJLOExISYvISr/npXm92drbZxyqKQkZGRrkm2fJ8f4SAUiT1+Ph4+vfvz19//YVKpdJ3jNH1XM3Ly7NOhEIIsyUlJREVFUVwcLDVho3paHr2hE2bUJ56imp//skYjYZPO3fWD4vT9Xa3h/kqdKVzR5rtUrcy3aRJk6hbt66twxEOxuLb1fHjx9OgQQNSU1OpVKkSf//9Nzt37qRjx45s377diiEKIcwVHR1tdNiY1Tz6KOeio5lWoQIu+/fz4a5d+FesCBTdWc0WyrN3u+5auhXjLF1MJv/KdNI7X5jL4k/d7t27mTFjBj4+PqjVatRqNQ8++CARERGMHz/emjEKIcwUEhJidNhYSVQqFV5eXiYl5KijR9nVujVfeHjgfuQILo89BpcvWxqyw9MlYFOXiy1K/pXpJKkLc1mc1PPy8qhatSqgnblKd1dar1494uLirBOdEMIi/v7+jBo1yux2a3M6doWEhNCgXTuej40lz8cH1ZEjuPTogculS5aG7RRCQkJKtZiMqSvTCWGMxUm9ZcuWHDlyBIAuXbowe/Zsdu3axYwZM6zehieEM3PUHtK6ldF8u3YlefVqlDp1UB0/Tp2nn6bCmTNmnSslJYWoqCiS863jbg6NRkNOTo7ZJVpd+/WFCxesViKWpCxsyeJvkbffflv/AZgxYwbx8fE89NBDbNq0iXnz5pl1rp07d/LUU0/h7++PSqVi/fr1Bs8risK7776Ln58fFStWpEePHvzzzz+Whi5sxFGTV1lzhr9LblAQedu3ozRpwuWkJGIGDiT9118BbcKeN29esW3MurHrMTExJl0vKSmJyMhI/TkvXrzIypUrzW7Hzl9VLtXcwhlY/C3Sq1cvBg4cCECjRo04efIkV65cITU1lW7dupl1rhs3btCmTRsWLlxo9PnZs2czb948Fi9ezN69e6lcuTK9evWyaFiLsB1nSF53s9TUVKKioopOnPXrk7d9O4t8fTmWnc0Pr7yC+qefWLNmDXFxcfphsMbopo4NDg42KZbo6GhOnz6tP+eyZctITExk+fLlZr0mXft1SEiIWccJYa+s+u3q7e1t0TCW3r1789577zFgwIBCzymKwmeffcbbb79Nv379aN26NcuWLSMpKalQiV4IUXZ0penikjM1a/LEihU0q1uXF3NzqTBoEKM8PWnatGmxidPX15dRo0YBmNRzPCQkhEaNGunPOWLECAIDA+nfvz+enp4m3zhKVblwNhYn9W7dujF9+vRC29PT080uqRcnPj6eS5cu0aNHD/02Ly8vunTpwu7du4s8Licnh8zMTIOHEMJ8V65cYeHChTz66KMEBQXpE2lRQ9dqNWjAyI0bqdqvH6q8PNq89x7vVqyIv58fKpUKT0/PIm/+Y2JiTOo57u/vT0hICJUrV0aj0eDn58fAgQOpWrWqWUldCHtWMIfl5OSUeIzF//O3b9/OggUL6N+/Pzdu3NBvv337Njt27LD0tIVc+rcnbcFevL6+vvrnjImIiMDLy0v/CAwMtFpMQtxNNmzYwKlTp9i2bRujRo3Sl2qLHY/u5kbqRx+RO2ECADVmzcJ18mTUioKXl1eRST04ONjknuO6GeI0Gg3Jycl8++23pKamWv5CbUyGr4mCAgMDDfJYREREiceU6nZ2y5YtXLp0iXvvvZdz586V5lRWN3XqVDIyMvSPxMREW4ckhNWUZ/+Evn370qRJE/Pnaleryf3wQ65MmQKA6+efU+ullyArq8Buan2i9/Pzs6g6XNem/u2335oXox0xltR1vfMtnchGOLbExESDPDZ16tQSjynVN4Kfnx87duygVatWdOrUqUxmkqtduzag7UGbX0pKiv45Y9zd3fH09DR4COEsyjOp+/j4EBYWRq1atYw+X9KKaRmjR3Np7lwUd3cqbd1KxccfJyMujgULFpCUlKRP6qV5LcHBwTRo0IDBgwc7fIk3/3tb2olshGMrmMPc3d1LPMbiT5Gu+szd3Z1Vq1YxYcIEHn/8cT7//HNLT2lUgwYNqF27Nlu3btVvy8zMZO/evRYv2yiEMI1uDvniqrVNWQb1xpNPcvunn8irUQOXI0fYPW4c/+zbZ7VkVadOHZ577jlq166NRqMhIyNDvx6F7nVERETwwQcfGJR6LVnC1Zo3DcbOlT+p559dTghTWJzU839gQDtufeXKlXzyySdmnysrK4vDhw9z+PBhQNs57vDhwyQkJKBSqZg4cSLvvfceGzZs4K+//mLEiBH4+/vTv39/S8MX4q5kbnWuNeeQV7p0IXndOjRNm/LyzZt0OXCA0fXrl/q8poiOjmb79u3s2LHD4EbCHpN6ftI7X5jL4qQeHx+Pj4+PwbZBgwaxZ88eoqKizDrX/v37adeuHe3atQMgPDycdu3a8e677wLw+uuvM27cOF588UU6depEVlYWmzdvxsPDw9Lwhbgr6apzY2JiTKq+t3QOeZ2kpCTmzZtHSkoKSUlJfLJ2LWdWrKBShw783507BIweDXPmkHTxIpGRkRbPKFeSkJAQunbtyiOPPFKo1GutJC3t38IeWJzU69WrZ/QLoWXLlowcOdKsc3Xt2hVFUQo9dLNLqVQqZsyYwaVLl8jOzmbLli00adLE0tCFcHq6nukFe5nrqnNHjx5tUlLXzSFfVHt6SaKjo4mLi2PNmjVER0drbyjWreP4J5+QMWQIKo0GwsNZOnAgp0+dMnlGOVNdvHiRjz76CEVRmDp1Km+++WahUq+iKFy/fr1Q7aO5dDdMxY7jF6KMmbWeenh4ODNnzqRy5cqEh4cXu++nn35aqsCEKI7MTlc8XVIvqLyrc0NCQsjMzGTo0KHUrl2brKwsgoODSU1NJWXmTKp07ozLG2/w0tGj5NasScj771v1+lFRURw/fpyoqCj95DY6Go2GzMxMKlWqZJW130NDQ8nMzCQ0NNSh/m/q/g4yvt85mJXUDx06xJ07d/Q/F8UaHxAhiqNL6ncDW97A6DrKjRw5koYNG5Kenm7W8bVr12bUqFFUqlRJf0Ph4+Oj7XinUqFMnAht2+L39NO8f/kymsGDSfn8cwgIsEr8uhuI4OBgNBoNN2/eRKPRoNFoSEtLIyMjQz+Bjalt60Xtq3t9AQEBuLqa9dUK/Fd9P2nSJOrWrWv28ZbSNT8UOeeAcChmvYPbtm2jWrVq3LlzB7VazRdffMG2bdsKPX79dyEHIUTp2TKp6zrKffPNNybFkL8NHf5LgAWrthVF+S8x9ujB7d9/52bDhqhTUqg9fDgqK1Vh+/r68swzz+Dr62twzYI95A3iKYElnetMIcPXhDVY9C1RoUIFjh49au1YhBA2ZOzmwdyOcpGRkcTFxZXYW75gElUaNuTYkiXk9u2L6vZtXF58EV5+GUyYFrM4Go2GW7duGSRgex3HLsPXhDVYfOv/3HPPyR2lEE7EWFLXdZQrOE1zUUJDQ2natClPP/202RPKaCpVInv5ctInTUJRqWDxYly6dsU7M9OqtRTGxrHbAxm+JqzB/Iaff+Xm5hIVFcWWLVvo0KEDlStXNnheOsoJYf+sXbXv7+/P+PHjAahWrRq5ublGr1m5cmWDNSPyPUnG+PF4du+Oy4gRqPbvx7NrV1ixAp54wiox6qSkpBAbG8uQIUMKDc8VwlFZ/Ek+duwY7du3p2rVqpw6dYpDhw7pH7pJZIQQ9s0W7fXFLgTzL6VXLzh4EDp1gvR0ePJJeOcdyMsD/uvAV3D6aHPExsaa1FRgTHlV4ZfH+yPj652LxSX1bdu2WTMOIcRdQjfX+5UrV4rfsV49+O03ePVVWLgQ3nsPdu+G5csNZrrTTRd99epVfvrppxKH2+oMGTJEX1I3l6IoZGZm4uPjU6YJtzxGeeTvoGdsOW3hWGT8ghDCIpaWIs1awMXdHRYsgJUroVIl2LoVWrcmtH79Qh34fv75Z06dOmXy5C++vr76xJ5/bvvy7EhXVqVkc16DdNBzLqVO6sePH2fz5s1s2LDB4CGEcG66pO7q6lomY5wNEtMzz8CBA9CmDVy5Qv3Ro5l5/Tq1q1fX79+zZ0+aNGlCSEiIydcwVgVfnkm9rIaxmfMapIOec7G4+v3s2bMMGDCAv/76C5VKpe9Jqpt4Ju/fti8hhHMzpY3cEoUmRWnWDPbsgSlTYO5c/GNjyf7rL/j6a2jQgBo1ahAWFoa/vz8XL1406Rq6kvqgQYPMjs0aY9Xzz0InhDVY/CmcMGECDRo0IDU1lUqVKvH333+zc+dOOnbsWCbrqgshnEOpSsIeHvDZZ9xeu5Y71arhcfIkLl26UGHpUip6eBSazTI5OZlVq1YVuVCMrgo+JiaGBQsWcPHixRJjS0pKIjo6mvPnz5c6qecvJcvUx8IaLP7fs3v3bmbMmKHvKKJWq3nwwQeJiIjQD2kRQoiCdHONl2acuKZ3b37+9FPeCgwk+dYtro4dy9YxY0iLjycpKYn58+dz69Ytli9fTnx8PMuWLSMlJYWoqCiSk5PRaDTcuHGDKlWqEBsby86dO9m9ezdRUVEljmGfN28ev/76K2vWrLE4fmMkqQtrsLj6PS8vj6pVqwLg4+NDUlISTZs2pV69esTFxVktQCGEZVQqlVMv0rH299+50KwZ/2vaFNWvv3Lq7Fl+evpplL59iUtLIzY2lpCQEBISEhgxYgSLFi3i/PnzLF26lBEjRnDz5k08PT0ZNmwY169fJzs7m+DgYFu/LCFKxeJPe8uWLTly5AgAXbp0Yfbs2ezatYsZM2bQsGFDqwUohLBMeZX8bDXOuW/fvjRt1ozQyEhC1q6lhacnL2VlMWbVKtpdvEjo0KH4+fnxzDPP4Ofnx7Bhw7jnnnt48sknWbBggX5Ina+vL6+//jphYWFUrFixxCr18ePH061bN4YOHWqw3VFL2o4atzDO4nfx7bff1v/nnzFjBvHx8Tz00ENs2rSJefPmWS1AIYRtlVTit9VCJD4+PowdOxZ/f398e/XiiW+/peJzz+EPfPDXXwQ++SQuO3cC2sTVpEkTJkyYwKZNmzhy5AjTp0/Xt7Xn5uaSnp5Oenq6vuq9qLZ/f39/goODC81CZ83kWNoe+ObcaElSdy4Wv4u9evVi4MCBADRq1IiTJ09y5coVUlNT6datm9UCFEKYz5pf1CWdq+A4Z5VKZTAO3ZRmgPw96E1JaLr983eM01SsyOV33uH25s3k1qmD6tw5Kj75JC0WL0Z965b+NYSEhJCdnY27uzsxMTHaY/9t57eXhV9Ke+2ibrTsdTEbYT1WvTXz9vaWtdSFsANlUfoqauhawXHOBa9tSiz5z60oChkZGSYldWPn1DzyCBc3b0YzejQA9b//nkoPPAC7dunj/fjjj2nRooW+DT01NZW1a9dy4sQJFixYUKrpZ+1BURPKSFJ3fmZ1lDN1+kWQBV2EcDZlNR69LChVqqBZtIjcvn1RQkNxP3MG1aOPUnX4cDSffoqvr69+9bn4+Hi+/fZbEhMT+eSTT/D29mbNmjW0b9/e1i/DYracUEZX6+HMnTTtmVlJ/dChQybtJ6V1IURxUlJSiImJwc/Pr0w71moee4y/Vq6k/bJluKxYQY1Vq9Ds2EHlt97icuvW+klkBgwYwOXLlxkyZAh//PFHoU5wwnSFJg0S5cqspC6LuAghrCE2NpYzZ84QHR3NzJkzy/RaeVWrcmfJEvKGDUPz0kt4XLxInVdewb1rV1Sff46iKFSqVIkBAwbQvHlz2rdvj4uLS5Hn02g0XLx4kV9++YU6deqUyU2JrqPbpEmTqFu3rtXPL5xXqW6jrl27xieffMLo0aMZPXo0c+bMISMjw1qxCSHsiCXt9ElJSURGRhbqhT1kyBCCgoLMmqe9tDTdu3N0xQpuh4ejuLjgs307nl264Lt+Pdk3b5p+Ho2GDRs26G9KykJZjSiQZVadn8VJff/+/QQFBTFnzhzS0tJIS0vj008/JSgoiIMHD1ozRiGEHbAkqUdHR3P69OlCyU/Xpl3Wbb4Fbyo0Hh7cnj6d82vXcr15c1TXr9P4k0/oFB5OtYQEk8/bs2dPGjZsWOqbErVajaenZ6Ge92W1clp5DD+UGwfbsjipT5o0ib59+3Lu3DnWrl3L2rVriY+Pp0+fPkycONGKIQohHFVISAiNGjUiJCTEJuOhi7qpuN2sGUcXLybn44/RVKpEtePHeeLtt6n53nuQnl7ieb29vQkODtbflFjaq7yopG5uRzdTr6+7WQgJCSmzXvC2mrdAaJWqpP7GG2/g6vpfs7yrqyuvv/46+/fvt0pwQgjbKm2P94CAACZMmEBAQIDJQ9u8vLxQqVQWlfgKJreQkBCCgoIYPHgwFy9eJDIy8r/FXVxcuPPSS5z78UeO3HsvrysKn3zzDR69elFlzRoy0tONJj21Ws3NmzdZunTpfzUANh4qVvD6Rf2tdTcLtWvXLrN4ZX1227I4qXt6epJgpLoqMTFRPye8EMKxlTapF3W8SqUyuj1/MoqOjja5xJeUlERUVBQpKSkGi8UEBAQwbtw4KlWqRHR0NOfOnWPp0qUGx+b5+TGvRQtia9RgY4UKzMvIYPFbb3G9a1dcjTQlqtVqfvnll1K1qZtyE1CaGwVbzhIn67PblsXv+NChQwkNDWXNmjUkJiaSmJjI6tWrGT16NMOHD7dmjEIIJ1Mw2RtLQiEhISaX+KKjozlz5gwbNmwwGFKb/zqjRo2iZcuWhISEEB8fr1+xTa1Wa+eF79yZ1k89Re6DD3LExYWVp05Rd8gQ1C+8gCYpySDB9unTp1Qd/UxJ2KZMwiNEQRYn9Y8//piBAwcyYsQI6tevT/369QkODmbw4MHMmjXLmjEKIazEXuf5NhaXOSW+kJAQGjduzJgxY4p8bbrz+fr6smbNGk6fPq2fJrZWrVo888wzvPTKK4RFRRE4ciT9H3lEG1tMDKomTVBmzECTlQVo550PCQmxuDSqGx9fVMLO3wxhClObKuz1/RfWY/E76+bmxty5c0lPT+fw4cMcPnyYtLQ05syZg7u7uzVjFEJYiblf6mWRBJKSkpg3b55Vp2L19/cnNDQUPz+/EvdVq9UMHTqUoKAgBgwYgEaj0U8Te+XKFfz8/Ah74w0yZ84k4auvUDp1QnXjBtXnzMGlRQtSFy5k1cqVXL161eJ4TUnq5vzdTe2cVh5JXW4cbMvsv7pGo2HWrFk88MADdOrUiRkzZtCoUSNatWpFpUqVyiJGIYSNlMVNQGRkJHFxcaxZs8ZaYZYof3W3Wq2mQYMGhISEULlyZRRFYe3atSQmJrJp0yb9MVeuXOHjP/4g8euvyVu+XLtIzMWLRE+ezKWvvuKXL74ot/iLei069tQ5TZK6bZn9V3///fd58803qVKlCnXq1GHu3LmEhYWVRWxCCAdjyhd6aGgoTZs2LdepWBVFMehAp1KpqFy5MiqVCo1Gw+OPP05gYCBPPPEEoJ3GdsaMGRw5coTI6GguPvwwrw0YQOKUKYyuUoV216/z1o8/UqFfPzBx+uz88o+fN7eXv7GkLp3ThI7ZSX3ZsmV8/vnn/PTTT6xfv57vv/+elStXSmcOIYRJ/P39GT9+PL6+vmVy/oJLvxpTcFW4KlWq0L9/f/0a6bGxsXh4eJCdnU1oaKi2evv0ab50c8P31CnGDR9ObbUal59/hvbtUQ8fToUzZ0yOMf/4+aKqzo0le2sNnZMJYpyX2Uk9ISFBfzcL0KNHD/2YUiGEKK3SJpyiagtMSfY6gwcPpnHjxnz00Uf69np99XbNmqS++y67IyO58/TTKCoV6m++wb9nT9SjR8P58yWeP/+kPLqaiyFDhhgka2PJXqPRkJ6ezvXr10uV2GWCGOdldlLPzc3Fw8PDYFuFChW4c+eO1YISQty9dAmnuDHg5vYO1x1TrVo1Ll26pO+ol5KSwqxZs1iwYAHx8fEsW7aM5ORkatasyeDBg6lZsyZgfM14GjcmJzKSpI0byevTB5VGg3rpUmjSBMaPh2I6AupuFPz9/fH392fcuHFUrFixUDu5sWSvKEqxnexMIeutOy+zVmkD7X+o4OBggx7u2dnZjBkzhsqVK+u3rV271joRCiHuKqGhoWRmZhY7BlytVuPt7Y2rq6vZHbJ0HfViY2MB+O2338jJyeHkyZP4+PgQExNDz549Wb16NS+99BKNGzcu9nx3mjfnTmwsqT/+iO/8+ai3bYP58yEyEsLCyJ0wgaS8PPz9/Q1m4NTR9YQv2NFYl+x1+5TUnGBO57Si2uBl2VTHZ/a7NnLkSGrVqoWXl5f+8dxzz+Hv72+wTQghLGFqpy9TEpmxoWP5S8BDhgzhoYceol27djz//PMEBQURHBxMbGws586d0yf+ouZoz3+dq40bk7t5M2zZAp07w82b8NFHuDRqRIXXXiM3X7X8pUuXWL58OZcuXdLHqOvEV5ykpCQ+/PBDFixYYNA8IT3OhY7ZJfWyWmpQCOGY7Dmh6BKmm5ubfpuuo15eXh4AkydP5p9//sHLy4tevXpRp04dhgwZQlpaGkOGDAH+S+oXLlwwOnT34sWLzJ07l6lTp9Kwe3fYswc2bYKZM1Ht3Yvf11+jrF+PEhKCasoUoqOjOXv2LNHR0bzxxhvcunXLpCrvL7/8ku3bt6PRaMplLXrheOzvUyiEcCj2nNRNpVarqVWrlv51+Pr6EhwcbLSHfv72/IsXL/LRRx8xb948w9XgVCp48knYvZvbGzeS0bYtqtu3Uf3vf9C4MaNPnKCxtzchISFoNBpu3bplUkk9ODiYzp07c++995brWvTCcTjEp/D//u//UKlUBo9mzZrZOiwhhIXM6YluiuIWnrly5QoLFizg7NmzJncAU6vVVKxY0ej5dEldrVYTExPD8ePHURRF35vdgErFhWbNGNOsGS/27s2Fhx6C3FwCY2OZu3o1geHhqPft4+rVqyxcuLBQlXrVqlW5ceOGPm5/f39eeeUVwsLCymRMugx1c3wOkdQB7rnnHpKTk/WP33//3dYhCSEsZO3SvaurKwEBAaSmphZKShs2bODUqVOsXr3aIKmnpKSwYMECUlNTLb7uiBEjaNSokb6a3ph58+bx448/8vPx4yx59FHYvZu83r1RaTS4rFtHpW7dOPH665z9/Xciv/xSf5xarSYrK4v58+dz4cIF/fYrV67oV7CzpJd6cT3cZaib43OYpO7q6krt2rX1D90kEUIIobtJMLZca9++fWnSpAl9+vQxSGaxsbGcPHmSr776yqSq7/x0M8KBtuPd5s2bDavf89FNblO9enXtELJ77+XO2rUcWbGC3Oef56KrK3mXL9P8yBFeXLUKliyB7GzAcJIanR9++IEzZ84QFRVlcVLPyMhAUZRCCd6eppsVlnGYpP7PP//g7+9Pw4YNefbZZ42u5Z5fTk4OmZmZBg8hhOOwpDRvLCn5+Pjw8ssvU6NGDYPe60OGDKFJkyY89thjZif1qKgo4uLi9GuzjxgxgqCgIAYPHlwo0Y4dO5aHH36Yzz77zKDK/FZQELlffMHisDCOBwZSxc2NOmfOwIsvQr16MG0aIU88Uahav1+/fjRt2pSnn37apFiNlcx1zR+AwXPWmm5WxrtbR8EclpOTU+IxDpHUu3TpQkxMDJs3b2bRokXEx8fz0EMPcf369SKPiYiIMBhiFxgYWI4RCyGgdNXslhxb3Pjr7Oxs/Xjv6tWr07RpU8aOHQvAmjVrDKrhU1JSiI6ONlhJLn9788iRI6lbty7PPfccAH5+foSEhBhMIKNLbL6+vjzzzDM0atSo0GvRaDQMCg7G77HH6PHdd2TNnIkSGAipqTBjBu4PPYT3r7+i2r8f/r3x8PHxYdKkSfj5+ZmUPDUaDWlpaaSlpen30/1tgVJPZFPUNSWpl15gYKBBHouIiCjxGIdI6r1792bIkCG0bt2aXr16sWnTJq5du8bXX39d5DFTp04lIyND/0hMTCzHiIUQYPue8boOdKmpqfokrZu4xtvbG7VaTWxsLLt27WL16tX6GepiY2M5c+aMfpw6GLY3+/n58cwzz+i3JycnF7q2LrFdvHiR1atXc/PmTaNJ3cPDg6FDh+IdGEjK8OHkxcXBmjXw4IN8mZfH6bNnWTZ0KLRvT8rcuUQvWaK/ATE1eSqKQkZGBhqNxuDmpOA4/pKWhC3qNUryLhuJiYkGeWzq1KklHuMQSb2gatWq0aRJE06fPl3kPu7u7nh6eho8hBB3F11SX7FiBb///jsxMTGF9tElcjc3N33SHTJkCEFBQQYd4PJX7et6x69cuZJz586xfPnyImNYvnw5CQkJ+qr6ghRFITs7+78mgAoV4Omn4bffGPH99wQ1acJod3c4fJiYKVO4unIlmyZNwtXEgkrB9et1Nydffvklv/32G6+88gqH/l1prjRJPTc3l4SEBHJzc006VpSsYA7LP5NrURwyqWdlZXHmzBn8/PxsHYoQwoGlpKSgKAodOnRg3LhxVKtWDVdXV5o2bcqECRNo2rSpPtHnr9rXJfVRo0bRsmVLQkNDqVKlitG56ENCQmjatCkhISH6BKjraGeshJ+fX48eDFy6lBpnz8Ls2TxZuzbXcnPpdugQ0Y8+yuXHHqPSDz9AvrbWgqXnguvX625OgoODefvtt0lMTGTKlClA8UMDS5Kbm0tSUpIkdRtziKQ+efJkduzYwblz5/jjjz8YMGAALi4uDB8+3NahCSFswNxq3xEjRvDggw8SHBxssD02NpaUlBQqVqxInTp19End29sbLy8vfRW9sevfunULX19fJkyYQJ06dYpMhnXq1GHChAn4+fnpY9b1ajdWc2CUtze89hrfjRqF6z338F7VqvwFRP3+O7XGjcOlfn2YPBn+HeZWsEd7/vXr89+cTJkyhcDAQD788ENAO31tZGQkly5dMi2ufPKvES9sxyGS+oULFxg+fLi+x2eNGjXYs2ePfgUlIYTjsEY7u6lJXVf1DDBs2DBq1apl8PyQIUNo2LAhTz31lFnx6JK6KTcVxkq/uqVXg4ODSU1NZfXq1dy4caNQSb/gsSGhoQR27syITz4hcMQIQl55hVxfX1RXrsAnn0Dz5qi7dqXyt99q555Hm8SHDh3KmjVrCiXce+65h/nz59OuXTug6OVeC/6tjW3LP/zOWpPYGOvkJ4rnEEl99erVJCUlkZOTw4ULF1i9ejVBQUG2DksIYYHy7Dynq3r+9ttvSUtLKzRrm6+vLyEhIQQEBJRZPMZ6mgcEBOhL+N988w2JiYmsWLGC+fPnG8Tn6uqKv7+//jh/f3+Cg4Np0qQJr7z1FrU++YQLv/9O3rp1aPr0QXFxQb1rFzUnT8YlIICcZ59F2bqVNatXc/LkSRYuXAhQ5OI0xoYE5k/gup9zc3O5du0aFy5c0CfvJ554goyMDB5++GG+/PJLq0xio1s/Pj09XZK6iRwiqQshhCV0Vc+DBg3i559/5tSpU+U+W5qxpJ6/BP7000/TpEkTVCpVoURY0upwSUlJzF24kIvt23Nu7lzGPP008ZMmcScwENX167ivWkWFxx9n8tdf0+7qVQa3bg1ok7puSHD+moCSxqkXLKHnn+xn06ZNeHp68v333xMcHGy1SWxSUlKYN2+eVOubSJK6EMJp6VZkq1WrFj179qRJkyYGiUalUlG5cmWjHdwKMreGwZQq6KSkJGJjY+nbty/jxo0rMRHq5oPXdcrLn1Sjo6M5lZzMnNxcXh84kPjVq7k+bBiKlxeBKSl8eOAAnZ57DpfOnUmeMYMP33mHjz76CJVKZXCzUdxrLPiaQkJC9DGHhIToRwxYaxKbpKQkwsPDOXLkiExdayJJ6kIIu1IW1fOpqan8/PPPPPHEE9SuXdvgWpUrVzbpWvnjSklJ4euvv+by5csG2+bOnaufkz1/+3RRfQCio6M5cuQI06dPBzCaCPMnUl3JvWrVqqjV6kJJtVGjRgCcjIsj6tgxLr//PimHD5M8bx5Z3bqhuLqiOnSIqJkz2fXVV+z66iu+eestshITTUrqutekm7Y2f/IOCAhg6NChrFy5kosXL5b49zSlX0RkZCQeHh5kZ2fL1LUmkqQuhLArZZHUv/32W86dO0dsbGyh6VI9PT1NKqnnN3/+fHbs2MHChQv1Pea/++474uLiWLJkCRqNxqB9WqPRkJmZWWg62pCQELKzs3F3dy+yJ3z+mwPdCnEuLi54eXnp2+b9/f3x9/cnNDRUX+IPCQlBURSuZWeT/MADXFi4kHO7dpH32WeMbtOG3kCfW7cY88MPBHbqhLpvX1i6FK5dM7h+/psK3Wvq3bs3H330kUHyVqvV/PDDD5w8eZKoqKgS/4amJPXQ0FBat27NzJkzDW7GTFWek+PYy0Q8ktSFEE5v8ODBNGrUiD59+ui36WaWq169eqlvINRqNWFhYTRr1szo0DHQtg1HRUUZVMfXrl2bGTNm0Lx580LD7XQKTnpTrVo1XFxcCt34XLp0ieXLl6NWq5kwYQK1a9cmKyuLvLw8srKySElJ4bOVK7k4YAB+Bw/y1p49vDlpErVbtkR15w7qH3+E4GCoVQueegqWL4eMDIObCt1r2rhxI8ePHy+UvB999FEyMzPp3bu3fltRyc6U5gl/f3/Gjh1LpUqVSux9b0xJ+1kzEUtSF0IICxVMCMV9oapUKpo0acLo0aMNhsEWVyNQUm3B+PHj6dGjB+PHj9dv07Xf+/r6Go138uTJHDt2jKioKIPOc5UqVSI4ONjoZFoajYZKlSoxbty4Etuno6OjOXv2rL7Ef/HiRf1MciqVig0bNhAXF/dfD/gOHbg2diyXt2wh8aefyJs2De65B+7cgR9+gBEjoGZNXtixg9a3bxPap48+7lGjRtGoUSNGjRql/zup1Wr++OMPPD092bx5s357Ue+Nqcu8qlSqQkMCzRnSWNyNgzUTsb2sRS9JXQjhcAomhOK+nHVV1kUlaN2wMVdXV4NjikvquqpuUzuCRUZGolKpOHfuHI8//rjJTQz5l0nVKSp56Er0uhXd5s+fz9atW1m8eDExMTEMGDCApk2b0q9fP/3fSTcn/O2gIJS334Zjx7SPadOgWTO4c4eAHTuY9euv1O3cGfV991Ft0SICMjMJHTVKP2GPLqm//PLLNG7c2CDZF8WUZV7VajU5OTlER0cbTIhjagIt6cbBmonYXtail6QuhHA4RSUES9rjXV1dqVu3rkFStzZdu3pgYCA//vijycdpNBpu3Lih7xgHRd/Q1K5d22hHu7///putW7fy9ddfG61JKDRk7J574P/+D06cgBMnyHv/fbL/nZyGP/+EN9/kavv2/PD446SOGwe//w55eQD6Nv6AgIBCr6PgTZcpPeR1C+7ExcUZJEtTE2hJNw7WTMT2sha9JHUhhMMpKiHYelW4ovj7+/PRRx/RpEkTg7bzpKQkoqOjuXLlitHYL1y4wPz588nKytJvL9jGXnAcu+48EyZM4L777gMg79+kmz+B62owjCVNvWbNUF5/nUtr15KbkAD/+x/07s0XLi6cyMwk+ssv4aGHoGZNGDYM1xUrCKxQodANUv5V4nRMfa+MJUtTEqgpTRfWTMQBAQFMmzat0A1NebOv//lCCFFGjLXNWqrg9K26kmhycrLRiVLUajWNGjXimWeeMWg7j46O5syZM/zwww9Gk1z+qVd1Ci4sU/AY3bY6depQqVIlatSoQc2aNRk3bhxr1qzRJ3DdfsOGDaNp06YlJzY/P3jxRdi0iRGHDlGnWzdG9esH1atDejqsWYM6NBSvZs1QdewIb72lLcUXscCLqUnd2A2cKaV83YgDT0/PIq9hzURsLzeUktSFEE5PrVZz69YtYmJiLFqsxNj5Cib1jIwMvv76a6Ol3qLa9UNDQ2nevDlPPfWU0evoxp7r2sl11zJleVS1Ws2wYcNo1aoV06ZNw8/PjyFDhtCgQQOD8/n6+jJ+/PgiE6SxZOXfuDHPvP8+NVevhtRU2LUL3nkHpUMHAFSHDsEHH8BDD5Hi60vU449zIzISzp8vNmZTr29KAk1KSmL+/PlG17Ev7jz20ovdUpLUhRBOTzeGuqymidUtHPPoo4+aVur9V0BAAOHh4YUWmilOwaReVGcvtVpNw4YNGTt2LD4+PqjVaho3bsyzzz6Lh4eHfgnY/GutG1NUUtXf1Li6wv33w4wZ5O3ZQ8K+feRFR8Pw4eDtzZeZmRw+fZoJERGkNmoEQUHaEv/q1VDMdUu6fklJvaj2cmNz2VsyXM5eSVIXQji84hKbbnKYF154ocw6MukWjtm2bZu+1Fsw8ehmoSuYQF1cXPDz8zPaUc9Y9buxa588eZKYmBijiU7X7ODq6krVqlXJzs7WJ62Ca62bqqh115OSkpizciUXu3WDVasgNZWQ9evJqFMHN09PvlCp4OxZWLJEm/Rr14ZWrWDCBNiwATIyzIqjOEW1l5eU1O1laJqlJKkLIRxeUaWy/Em9WbNmTJw4sdTzkRujWzhmyJAhha6tS3wxMTGcP3++0MxxLi4uRfa+N1b9buzazZo1Y/To0UaTuouLC3Xq1MHV1ZXk5GSWL19OamqqQdy6CXNMVVRJudD74OKC/5NPMvvrr2kWHMyoY8dg40YID4e2bbX7HDsG8+ZBv37adeM7d9auDf/dd3Dlillx5VdUu3v+pG0sgdvL0DRLSVIXQjg8Ww8n0iUQ3WprxhhL0PmTo7FSo7EhYklJSURGRuoTUXEjAXRTyuquobux+Oabb/THFhzmZkr1c/7Jc/LvW9T7oG+3b9IEnnhCu/b7oUNw+TLExsKYMdC4MWg0sG+f9vn+/bW96lu0QHnhBW4sXozm7FkoMNWuuSIjIzlx4gQLFy40ukSsrf8vlZYkdSGEw7PWqmCmKlhSNWXKWWMT1pSU1I1Vc5tSJZ8/Jm9vb/3xTzzxBJmZmXTt2lV/LZVKZdCJz5w25YL7mv0++PjA4MGwaBGcOgUJCbBsmbbNvUUL7T4nTqD68ksqv/wy6qAgCAzUVt0vXAiHD5vduz40NJSAgACuXLlC7969CyVwexmaZilJ6kIIh2Pr4UPGknp5xWNKlbxOwbh0a57/+uuv+nHjBfcpizblgjcORQoMhOef146H//tvbUl+/Xo04eHktG2L4uoKFy9qO9mNHQvt2oGXFzz8sLbKPjZWe2OgKEW+JwEBAdSoUYOLFy+yadOmQjchtv6/VVqOGbUQ4q5mr1+8pYnL1GRasErenGuGhITg5+fH5cuX+eCDD4xey5QlY4uKuahYLP67+PhAv35oZs0ied068q5ehV9/hRkz4LHHwNMTbt6E337TVtk//TTUqwf+/trq+4gI7f7XrxvEEhYWRvPmzQkNDbXL/0el4TyvRAghbKy45FVUj3EdYx20ShxOVsI1CwoICKBatWrs37+fHTt26KvwL1y4wNSpU7lw4UKhJWOLS+oFY7Z0+FlJ9DcP167Bo4/CO+/Azz9rJ705fhyio7Xt8u3agYsLXLqk7Wj35pvQvbu2NN+sGTzzDHz8MXVOnmTSyJH6v4czJfWym+xYCCHsiK1L9yUl9dDQUDIzMw3ad/N3SLNWDM8//zw5OTmoVCp9SfXTTz/l8OHDLFmyhHfeeUdfJV3SRDfGYjZ2zdK+hvw3D9OnT89/cmjeXPvQTb9786a2E97evf89zp+HuDjt46uvcAHqAkr9+tobgfbttY927bQz5zkwlaKUsiuhg8jMzMTLy4uMjAw8PT1tHY4Qwopyc3O5cOECAQEBZbowS2mUFGNxz+ef8hQocfrTomg0GtLS0khPT0etVlOvXj1cXV05d+4cH330Ea+99hp169bVn//27dscPnyYtm3b4uHhYfZrspaEhATmzJnDpEmTqFu3rvknSE3VJvqDB/97nD1rfN/atbXD7Vq10j5attTeNBh5/WWlNPnKPv/3CyGEGWxdCi+JKfOQl3T8tWvX9JPIWFry1f2dMjIyihx6p9tHo9Fw8uRJvvzyS958800aNmxo0TWtodSjG2rVgl69tA+da9e0vefzJ/q4OG3V/ebN2oeOWq0dcpc/0bdqBQ0baqv77YgkdSGEw7N2NbW16ZJ6QECAWfOQ6+jalC0uqRqRv5JWt7DMokWLiIiI0A+xi4qK0g+fmzlzplWuazeqVYOuXbUPnRs34MgROHoUjh1D+esvlKNHUV+79l/1/b9j/AGoWFE79K5lS22bve4RFAQVKpTv6/mXJHUhhLADxd2YFNmmbCWhoaFcuHCBq1evcuHCBf2Nw6OPPsrvv//OE088UWzM5VlDcuHCBRYuXEhYWJj1x5JXrqydx/7++wHIy83lQmIiAS4uuJ44oZ397q+/tP/+/TfcugUHDmgf+bm6ahN706aGyb5pU+2seWXIPuuqhBDCiZR27Le1ZznLv646aKu3q1SpwoULF/Q92ZOSkvjwww9xd3dn06ZNRs9TXkk9/3WWLFmi79RX1ouvJCUlMXfePJJAW3X/6qsQEwP790NWlnbCnG+/1Q6xe/ZZ6NBBe2OQm6st1W/YALNnw6hR2huFGjW0TQEPPwyjR8OsWdrjjxzRns8KpKOcEEKUsWnTpvHnn3/SuXNni0ra1uyQptFomDp1KkeOHKFLly5Mnz4djUbDiRMnWL58OWPHjtXPqrZ9+3auX7/ON998Y9M29fzyd5oDSteB7l9F9Xmw6H1TFO0EOXFxcPLkf4+4OEhMLP5YPz9o1IjMunXxWrnSonwlSV0IIcpYaXtvW7uXuSnxJCQk8PHHH9O9e3d69epltPe7LeRPwNOnTy/VzZJOUX+PUve6L0hXuj95Ev75B06f/u/fq1f1u2UCXiBJvTiS1IUQtlLapFza3vOWxJObm0t8fDw3b96kefPmuLm5lfq61matpFtUidzaf/dipadrk/vp02T+9RdeEREypE0IIZyRrXr3lzRhjq1ZayGfoibRKde/e/Xq0KmT9vHkk9opbi0gSV0IIcqYvY2jNyUetVpN9erV9T/bI2v9XXV9CJyhFleSuhBClDF7G0dvSjy6pVvtmbX+rvb2/pSGfd5+CSGEEMJsktSFEEIIJyFJXQghhHASktSFEEIIJyFJXQghhHASktSFEEIIJyFJXQghhHASDpXUFy5cSP369fHw8KBLly78+eeftg5JCCGEsBsOk9TXrFlDeHg406ZN4+DBg7Rp04ZevXqRmppq69CEEEIIu+AwC7p06dKFTp06sWDBAkA70X5gYCDjxo1jypQphfbPyckhJydH/3tGRgZ169YlMTHRKaYCFEII4ZwyMzMJDAwkISEBLy8v/XZ3d3fc3d2LP1hxADk5OYqLi4uybt06g+0jRoxQ+vbta/SYadOmKYA85CEPechDHk7xmDZtWon50iHmfr9y5Qp5eXn4+voabPf19eXkyZNGj5k6dSrh4eH63zUaDR06dODgwYOoVCqL4ujUqRP79u0z6xjdHZfUEJQfS94nR2Cvr8tWcZX1da19fmudr7Tnke8x+6coCu3bt+fAgQMGi9WUWErHiRd0MVZN4e7ublCVYS4XFxeL/0N7enrKh6GclOZ9smf2+rpsFVdZX9fa57fW+Up7Hvkecwzu7u4WLTLjEB3lfHx8cHFxISUlxWB7SkoKtWvXNvk8YWFhpYqjtMeL8uGs75O9vi5bxVXW17X2+a11PvkeuztY+j45VEe5zp07M3/+fEBbnV63bl3Gjh1rtKOcvcjMzMTLy4uMjAy5wxVCOCT5HnMcDlP9Hh4ezsiRI+nYsSOdO3fms88+48aNG4SEhNg6tGK5u7szbdo0k9pChBDCHsn3mONwmJI6wIIFC/joo4+4dOkSbdu2Zd68eXTp0sXWYQkhhBB2waGSuhBCCCGK5hAd5YQQQghRMknqQgghhJOQpC6EEEI4CUnqQgghhJOQpF6OEhMT6dq1Ky1atKB169bExsbqnxswYADVq1dn8ODBNoxQCCGKV9T3WHHfb6L8SO/3cpScnExKSgpt27bl0qVLdOjQgVOnTlG5cmW2b9/O9evXWbp0Kd98842tQxVCCKOK+h7LzMws8vtNlB8pqZcjPz8/2rZtC0Dt2rXx8fEhLS0NgK5du1K1alUbRieEECUr6nusuO83UX4kqZth586dPPXUU/j7+6NSqVi/fn2hfRYuXEj9+vXx8PCgS5cu/Pnnn0bPdeDAAfLy8ggMDCzjqIUQ4j/l8T0m32+2I0ndDDdu3KBNmzYsXLjQ6PNr1qwhPDycadOmcfDgQdq0aUOvXr1ITU012C8tLY0RI0bwxRdflEfYQgihV9bfY/L9ZmMlrrgujAKUdevWGWzr3LmzEhYWpv89Ly9P8ff3VyIiIvTbsrOzlYceekhZtmxZoXNu27ZNGTRoUJnFLIQQ+Vn7e6y47zdRPqSkbiW3b9/mwIED9OjRQ79NrVbTo0cPdu/eDWgXvg8ODqZbt248//zztgpVCCGMKs33mHy/2QdJ6lZy5coV8vLy8PX1Ndju6+vLpUuXANi1axdr1qxh/fr1tG3blrZt2/LXX38B0KNHD4YMGcKmTZsICAjQf4CEEKK8lOZ7rLjvN1F+HGbpVWfw4IMPotFojD63ZcuWco5GCCHMV9z3WFHbRfmRkrqV+Pj44OLiQkpKisH2lJQUateubaOohBDCdPI95vgkqVuJm5sbHTp0YOvWrfptGo2GrVu3ct9999kwMiGEMI18jzk+qX43Q1ZWFqdPn9b/Hh8fz+HDh/H29qZu3bqEh4czcuRIOnbsSOfOnfnss8+4ceMGISEhNoxaCCH+I99jTs7Gve8dyrZt2xSg0GPkyJH6febPn6/UrVtXcXNzUzp37qzs2bPHdgELIUQB8j3m3GTudyGEEMJJSJu6EEII4SQkqQshhBBOQpK6EEII4SQkqQshhBBOQpK6EEII4SQkqQshhBBOQpK6EEII4SQkqQshhBBOQpK6EEII4SQkqQshhBBOQpK6EEII4SQkqQshhB1ITEyka9eutGjRgtatWxMbG2vrkIQDkgVdhBDCDiQnJ5OSkkLbtm25dOkSHTp04NSpU1SuXNnWoQkHIiV1IYzo2rUrEydOtHUYds9Z/k5Xr16lVq1anDt3zmYx+Pn50bZtWwBq166Nj48PaWlp+ueHDRvGJ598YqPohKOQpC6czqVLlxg3bhwNGzbE3d2dwMBAnnrqKbZu3Wrr0KwiODgYlUqFSqWiQoUK+Pr68thjjxEVFYVGoynXWNauXcvMmTP1v1szyT/yyCOoVCq++uorg+3z58/H39/fKtfQef/99+nXrx/169e36nktdeDAAfLy8ggMDNRve/vtt3n//ffJyMiwYWTC3klSF07l3LlzdOjQgV9//ZWPPvqIv/76i82bN/Poo48SFhZm6/Cs5vHHHyc5OZlz587x448/8uijjzJhwgT69OlDbm5uucXh7e1N1apVrX5eRVE4dOgQfn5+fPvttwbPHThwgPbt21vtWjdv3iQyMpLQ0FCrnbMobdu2pWXLloUeSUlJ+n3S0tIYMWIEX3zxhcGxLVu2JCgoiBUrVpR5nMKBKUI4kd69eyt16tRRsrKyCj2Xnp6uKIqiZGdnK+PGjVNq1qypuLu7Kw888IDy559/Guz7yCOPKBMmTND/Xq9ePWXOnDkG+7Rp00aZNm2afv+xY8cqEyZMUKpVq6bUqlVL+eKLL5SsrCwlODhYqVKlihIUFKRs2rSp0HXGjRunvPbaa0r16tUVX19f/TmLMnLkSKVfv36Ftm/dulUBlCVLlui35eXlKR988IFSv359xcPDQ2ndurUSGxtr1vVjY2OVli1bKh4eHoq3t7fSvXt3/d83/99p5MiRCmDwiI+PV5YuXap4e3sr2dnZBuft16+f8txzzxl9jXFxcQqgLFy4UKlUqZJy48YN/XOtWrVS3n333WL/RuaIjY1VatasWWh7Xl6eMmvWLCUoKEhxc3NTAgMDlffee09RFMvf75JkZ2crDz30kLJs2TKjz0+fPl158MEHzX+R4q4hJXXhNNLS0ti8eTNhYWFGOxdVq1YNgNdff51vv/2WpUuXcvDgQRo1akSvXr0M2i8tsXTpUnx8fPjzzz8ZN24cL7/8MkOGDOH+++/n4MGD9OzZk+eff56bN28WOq5y5crs3buX2bNnM2PGDH755Rezr9+tWzfatGnD2rVr9dsiIiJYtmwZixcv5u+//2bSpEk899xz7Nixw6TrJycnM3z4cEaNGsWJEyfYvn07AwcORDHSv3bu3Lncd999vPDCCyQnJ5OcnExgYCBDhgwhLy+PDRs26PdNTU1l48aNjBo1yuhrOXDgAB4eHowePRpPT09+/PFHALKzszlx4oRVS+q//fYbHTp0KLR96tSpfPjhh7zzzjscP36cVatW4evrq3/e0ve7KIqiEBwcTLdu3Xj++eeN7tO5c2f+/PNPcnJyLHuxwvnZ+q5CCGvZu3evAihr164tcp+srCylQoUKysqVK/Xbbt++rfj7+yuzZ8/Wb7OkpJ6/BJWbm6tUrlxZef755/XbkpOTFUDZvXu3wXUKlrw6deqkvPHGG0W+hqJK6oqiKEOHDlWaN2+uKIq21FepUiXljz/+MNgnNDRUGT58uEnXP3DggAIo586dM3q9gn+ngr/rvPzyy0rv3r31v3/yySdKw4YNFY1GY/S8kydPVjp37qw/dtiwYYqiKMqePXsUQElISDB6nCX69eunjBo1ymBbZmam4u7ublDrkZ+l73dxfvvtN0WlUilt2rTRP44ePWqwz5EjR4p9P4RwteUNhRDWpJgwOvPMmTPcuXOHBx54QL+tQoUKdO7cmRMnTpTq+q1bt9b/7OLiQo0aNWjVqpV+m66Ul5qaWuRxoO0FXXAfUymKgkqlAuD06dPcvHmTxx57zGCf27dv065dO5Ou36ZNG7p3706rVq3o1asXPXv2ZPDgwVSvXt2suF544QU6derExYsXqVOnDjExMfoOf8YcPHhQXxofOHAgAwcOJCcnh4MHD1KzZk2DDmSffvopaWlpvPfeewDk5uZSo0YNrl69iqtryV9xt27dwsPDw2DbiRMnyMnJoXv37kUeZ+n7XZQHH3ywxI6OFStWBDC59C/uPpLUhdNo3LgxKpWKkydPWv3carW60E3DnTt3DH6vUKGCwe+63un5fwcKfXEbO87SXuwnTpygQYMGAGRlZQGwceNG6tSpY7Cfu7u7Sdd3cXHhl19+4Y8//uDnn39m/vz5vPXWW+zdu1d/HVO0a9eONm3asGzZMnr27Mnff//Nxo0bi9z/4MGDDB8+HND2qK9QoQI//fST0U5yx44d44knnjD4G9SvX9+khA7g4+NDenq6wTZd8iyOpe93aeiaiGrWrGm1cwrnIm3qwml4e3vTq1cvFi5cyI0bNwo9f+3aNYKCgnBzc2PXrl367Xfu3GHfvn20aNGiyHPXrFmT5ORk/e+ZmZnEx8db9wWU0q+//spff/3FoEGDAGjRogXu7u4kJCTQqFEjg0f+km5JVCoVDzzwANOnT+fQoUO4ubmxbt06o/u6ubmRl5dn9LnRo0cTExNDdHQ0PXr0KDKGs2fPcu3aNX3ydnV1pW/fvnz77bccPHiwUPv3sWPHaNOmjf73w4cPG5SYS9KuXTuOHz9usK1x48ZUrFjR7oZBHjt2jICAAHx8fGwdirBTUlIXTmXhwoU88MADdO7cmRkzZtC6dWtyc3P55ZdfWLRoESdOnODll1/mtddew9vbm7p16zJ79mxu3rxZ7JCmbt26ERMTw1NPPUW1atV49913cXFxKcdXZignJ4dLly6Rl5dHSkoKmzdvJiIigj59+jBixAgAqlatyuTJk5k0aRIajYYHH3yQjIwMdu3ahaenJyNHjizxOnv37mXr1q307NmTWrVqsXfvXi5fvkzz5s2N7l+/fn327t3LuXPnqFKlCt7e3qjV2rLDM888w+TJk1myZAnLli0r8poHDhzAzc2Nli1b6rcNGjRI3+nsrbfe0m9XFIWTJ08aNDGkp6czderUEl+bTq9evZg6dSrp6en6ZgUPDw/eeOMNXn/9ddzc3HjggQe4fPkyf//9d7kMfSvKb7/9Rs+ePW12fWH/JKkLp9KwYUMOHjzI+++/z6uvvkpycjI1a9akQ4cOLFq0CIAPP/wQjUbD888/z/Xr1+nYsSM//fRTse3EU6dOJT4+nj59+uDl5cXMmTNtWlLfvHkzfn5+uLq6Ur16ddq0acO8efMYOXKkPokCzJw5k5o1axIREcHZs2epVq0a7du358033zTpOp6enuzcuZPPPvuMzMxM6tWrxyeffELv3r2N7j958mRGjhxJixYtuHXrFvHx8foJXby8vBg0aBAbN26kf//+RV7z4MGDtGzZEjc3N/22xx57jLy8PG7fvm1Q/R4fH0+TJk3Yv3+/flvv3r1p1aoVsbGx/PLLL6SnpzNt2jSDm4T8WrVqRfv27fn666956aWX9NvfeecdXF1deffdd0lKSsLPz48xY8aY8mcrE9nZ2axfv57NmzfbLAZh/2TudyFEuenevTv33HMP8+bNs8r5NmzYQGxsLMuXL9dvq1evHjt37qRevXqAtjr+559/5vXXXy/yPBs3buS1117j2LFjBjdF9mTRokWsW7eOn3/+2dahCDsmJXUhRJlLT09n+/btbN++nc8//9xq5z127JhBX4gbN26QkZGhT+gajYbPP/+cd999t9jzPPnkk/zzzz9cvHjRrP4G5alChQrMnz/f1mEIOydJXQhR5tq1a0d6ejqzZs2iadOmVjvvsWPHePrpp/W/nzx5Up/kNRoNkyZN4uWXXyYgIKDEc9n7wjSjR4+2dQjCAUj1uxDCKc2ePZv169fTunVrHnvsMf2oACGcmSR1IYQQwknYZ48QIYQQQphNkroQQgjhJCSpCyGEEE5CkroQQgjhJCSpCyGEEE5CkroQQgjhJCSpCyGEEE5CkroQQgjhJCSpCyGEEE5CkroQQgjhJCSpCyGEEE5CkroQQgjhJP4fQpiImNG2MYwAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polarization fraction as a function of the column density\n",
    "PvN_plot_Step2 = HtoH.PvN(CatP, CatdP, CatN, Nscale=[0.8e+21,2e+22], Pscale=[0.0,30.0], showfit='true', weighted='false', errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c49996f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polarization fraction as a function of the dust column density\n",
    "PvT_plot_Step2 = HtoH.PvT(CatP, CatT, Tscale=[16,28], Pscale=[0.0,30.0], CatdP=CatdP, errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "491d0620",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Saving figures\n",
    "# PNG\n",
    "PvI_plot_Step2.savefig('Plots/'+SourceName+'_PvI_plot_Step2.png',dpi=300)\n",
    "PvN_plot_Step2.savefig('Plots/'+SourceName+'_PvN_plot_Step2.png',dpi=300)\n",
    "PvT_plot_Step2.savefig('Plots/'+SourceName+'_PvT_plot_Step2.png',dpi=300)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "PoLiteWIP",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
